UNITED STATES

SECURITIES & EXCHANGE COMMISSION

Washington, D.C. 20549

SCHEDULE 13D/A

Under the Securities Exchange Act of 1934

(Amendment No. 1)*

Core-Mark Holding Company, Inc.

(Name of Issuer)

Common Stock, Par Value $0.01 Per Share

(Title of Class of Securities)

218681104

(CUSIP Number)

Michael S. Emanuel, Esq.

c/o Loeb Partners Corporation

61 Broadway, New York, N.Y. 10006 (212) 483-7047

(Name, Address and Telephone Number of Person Authorized to Receive Notices and Communications)

May 27, 2008

(Date of Event which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report the acquisition that is the subject of this Schedule 13D, and is filing this schedule because of §§240,13d-1(e), 240.13d-1(f) or 240.13d-1(g), check the following box. o

Note: Schedules filed in paper format shall include a signed original and five copies of the schedule, including all exhibits. See §240.13d-7 for other parties to whom copies are to be sent.

*The remainder of this cover page shall be filled out for a reporting person’s initial filing on this form with respect to the subject class of securities, and for any subsequent amendment containing information which would alter disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed to be “filed” for the purpose of Section 18 of the Securities Exchange Act of 1934 (“Act”) or otherwise subject to the liabilities of that section of the Act but shall be subject to all other provisions of the Act (however, see the Notes).

CUSIP No.

218681104

1. Name of Reporting Person

Loeb Partners Corporation

I.R.S. Identification No. of Above Person

2. Check the Appropriate Box if a Member of a Group

(a) x

(b) o

3. SEC Use Only

4. Source of Funds

OO

5. Check if Disclosure of Legal Proceedings Is Required Pursuant to Items 2(d) or 2(e)

o

6. Citizenship or Place of Organization

Delaware

Number of Shares Beneficially Owned by Each Reporting Person With

7. Sole Voting Power

-0-

8. Shared Voting Power

147,196

9. Sole Dispositive Power

-0-

10. Shared Dispositive Power

147,196

11. Aggregate Amount of Beneficially Owned by Each Reporting Person

147,196

12. Check if the Aggregate Amount in Row (11) Excludes Certain Shares

o

13. Percent of Class Represented by Amount in Row (11)

1.4%

14. Type of Reporting Person

BD, IA, CO

CUSIP No.

218681104

1. Name of Reporting Person

Loeb Arbitrage Fund

I.R.S. Identification No. of Above Person

2. Check the Appropriate Box if a Member of a Group

(a) x

(b) o

3. SEC Use Only

4. Source of Funds

WC, OO

5. Check if Disclosure of Legal Proceedings Is Required Pursuant to Items 2(d) or 2(e)

o

6. Citizenship or Place of Organization

New York

Number of Shares Beneficially Owned by Each Reporting Person With

7. Sole Voting Power

237,599

8. Shared Voting Power

-0-

9. Sole Dispositive Power

237,599

10. Shared Dispositive Power

-0-

11. Aggregate Amount of Beneficially Owned by Each Reporting Person

237,599

12. Check if the Aggregate Amount in Row (11) Excludes Certain Shares

o

13. Percent of Class Represented by Amount in Row (11)

2.26%

14. Type of Reporting Person

PN

CUSIP No.

218681104

1. Name of Reporting Person

Loeb Offshore Fund Ltd.

I.R.S. Identification No. of Above Person

2. Check the Appropriate Box if a Member of a Group

(a) x

(b) o

3. SEC Use Only

4. Source of Funds

WC, OO

5. Check if Disclosure of Legal Proceedings Is Required Pursuant to Items 2(d) or 2(e)

o

6. Citizenship or Place of Organization

Cayman Islands

Number of Shares Beneficially Owned by Each Reporting Person With

7. Sole Voting Power

59,163

8. Shared Voting Power

-0-

9. Sole Dispositive Power

59,163

10. Shared Dispositive Power

-0-

11. Aggregate Amount of Beneficially Owned by Each Reporting Person

59,163

12. Check if the Aggregate Amount in Row (11) Excludes Certain Shares

o

13. Percent of Class Represented by Amount in Row (11)

0.56%

14. Type of Reporting Person

CO

CUSIP No.

218681104

1. Name of Reporting Person

Loeb Arbitrage B Fund LP

I.R.S. Identification No. of Above Person

2. Check the Appropriate Box if a Member of a Group

(a) x

(b) o

3. SEC Use Only

4. Source of Funds

WC, OO

5. Check if Disclosure of Legal Proceedings Is Required Pursuant to Items 2(d) or 2(e)

o

6. Citizenship or Place of Organization

Delaware

Number of Shares Beneficially Owned by Each Reporting Person With

7. Sole Voting Power

82,199

8. Shared Voting Power

-0-

9. Sole Dispositive Power

82,199

10. Shared Dispositive Power

-0-

11. Aggregate Amount of Beneficially Owned by Each Reporting Person

82,199

12. Check if the Aggregate Amount in Row (11) Excludes Certain Shares

o

13. Percent of Class Represented by Amount in Row (11)

0.78%

14. Type of Reporting Person

PN

CUSIP No.

218681104

1. Name of Reporting Person

Loeb Offshore B Fund Ltd.

I.R.S. Identification No. of Above Person

2. Check the Appropriate Box if a Member of a Group

(a) x

(b) o

3. SEC Use Only

4. Source of Funds

WC, OO

5. Check if Disclosure of Legal Proceedings Is Required Pursuant to Items 2(d) or 2(e)

o

6. Citizenship or Place of Organization

Cayman Islands

Number of Shares Beneficially Owned by Each Reporting Person With

7. Sole Voting Power

29,738

8. Shared Voting Power

-0-

9. Sole Dispositive Power

29,738

10. Shared Dispositive Power

-0-

11. Aggregate Amount of Beneficially Owned by Each Reporting Person

29,738

12. Check if the Aggregate Amount in Row (11) Excludes Certain Shares

o

13. Percent of Class Represented by Amount in Row (11)

0.28%

14. Type of Reporting Person

CO

CUSIP No.

218681104

1. Name of Reporting Person

Loeb Marathon Fund LP

I.R.S. Identification No. of Above Person

2. Check the Appropriate Box if a Member of a Group

(a) x

(b) o

3. SEC Use Only

4. Source of Funds

WC, OO

5. Check if Disclosure of Legal Proceedings Is Required Pursuant to Items 2(d) or 2(e)

o

6. Citizenship or Place of Organization

Delaware

Number of Shares Beneficially Owned by Each Reporting Person With

7. Sole Voting Power

70,361

8. Shared Voting Power

-0-

9. Sole Dispositive Power

70,361

10. Shared Dispositive Power

-0-

11. Aggregate Amount of Beneficially Owned by Each Reporting Person

70,361

12. Check if the Aggregate Amount in Row (11) Excludes Certain Shares

o

13. Percent of Class Represented by Amount in Row (11)

0.67%

14. Type of Reporting Person

CO

CUSIP No.

218681104

1. Name of Reporting Person

Loeb Marathon Offshore Fund, Ltd.

I.R.S. Identification No. of Above Person

2. Check the Appropriate Box if a Member of a Group

(a) x

(b) o

3. SEC Use Only

4. Source of Funds

WC, OO

5. Check if Disclosure of Legal Proceedings Is Required Pursuant to Items 2(d) or 2(e)

o

6. Citizenship or Place of Organization

Cayman Islands

Number of Shares Beneficially Owned by Each Reporting Person With

7. Sole Voting Power

47,336

8. Shared Voting Power

-0-

9. Sole Dispositive Power

47,336

10. Shared Dispositive Power

-0-

11. Aggregate Amount of Beneficially Owned by Each Reporting Person

47,336

12. Check if the Aggregate Amount in Row (11) Excludes Certain Shares

o

13. Percent of Class Represented by Amount in Row (11)

0.45%

14. Type of Reporting Person

CO

Item 1.

Security and Issuer

The title and class of equity security to which this statement relates is the Common Stock, par value $0.01 per share (the “Common Stock”), of Core-Mark Holding Company, Inc. The address of the Issuer’s principal executive offices is 395 Oyster Point Boulevard, Suite 415, South San Francisco, California 94080.

Item 2.

Identity and Background

All entities referenced herein are located at 61 Broadway, New York, New York 10006 and are investment partnerships or investment advisors. Loeb Arbitrage Fund (“LAF”) is a New York limited partnership. Its general partner is Loeb Arbitrage Management LLC (“LAM”), a Delaware limited liability company. Loeb Arbitrage B Fund LP (“LAFB”), is a Delaware limited partnership. Its investment manager is LAM. The President of these general partners is Gideon J. King. The other officers of LAM include Thomas L. Kempner, Chairman of the Board; Michael S. Emanuel, Vice President and Secretary; Peter A. Tcherepnine, Vice President and Edward J. Campbell, Vice President. Loeb Partners Corporation (“LPC”), is a Delaware corporation. It is a registered broker/dealer and a registered investment adviser. Thomas L. Kempner is its President, Chief Executive Officer and a director. Gideon J. King is Executive Vice President. The other officers listed above are also officers of LPC. Loeb Holding Corporation (“LHC”), a Maryland corporation, is the sole stockholder of LAM and LPC. Thomas L. Kempner is its President and a director as well as its Chief Executive Officer and majority stockholder. Bruce L. Lev, Norman N. Mintz and Peter A. Tcherepnine are also directors. Loeb Offshore Fund, Ltd. (“LOF”) and Loeb Offshore B Fund Ltd. (“LOFB”), are each a Cayman Islands exempted company. Loeb Offshore Management, LLC (“LOM”) is a Delaware limited liability company, a registered investment adviser and is wholly owned by Loeb Holding Corporation. It is the investment adviser of LOF and LOFB. Gideon J. King and Thomas L. Kempner are Directors of LOF and LOFB and Managers of LOM. Loeb Marathon Fund, LP (“LMF”) is a Delaware limited partnership whose general partner is LAM. Loeb Marathon Offshore Fund Ltd. (“LMOF”), is a Cayman Islands exempted company. LOM is the investment adviser of LMOF. All of the individuals named in this Item 2 are United States citizens. None of the entities or individuals named in this Item 2 have been, within the last five years, convicted in a criminal proceeding (excluding traffic violations or similar misdemeanors) or been a party to a civil proceeding of a judicial or administrative body of competent jurisdiction and as a result of such proceeding been or are subject to a judgment, decree or final order enjoining future violations of, or prohibiting or mandating activities subject to, federal or state securities laws or finding any violations with respect to such laws.

Item 3.

Source and Amount of Funds or Other Compensation

Shares of Common Stock were acquired by LAF, LPC**, LOF, LMF, LMOF, LAFB and LOFB (“Loeb”) in margin accounts maintained with prime brokers.

Item 4.

Purpose of Transaction

Loeb has acquired shares of Common Stock for investment purposes. Loeb reserves the right, consistent with applicable law, to acquire additional securities of the Issuer (whether through open market purchases, block trades, private acquisitions, tender or exchange offers or otherwise).

Loeb intends to review its investment in the Issuer on a continuing basis and may engage in discussions with management or the Board of Directors of the Issuer concerning the business and future plans of the Issuer. Depending on various factors, including, without limitation, the Issuer’s financial position and investment strategy, the price levels of the Common Stock of the Issuer, conditions in the securities markets and general economic and industry conditions, Loeb may in the future take such actions with respect to its investment in the Issuer as it deems appropriate including, without limitation, seeking Board representations, making proposals to the Issuer concerning the capitalization of the Issuer, purchasing additional Common Stock and other securities of the Issuer, selling some or all of its Common Stock, engaging in short selling of or any hedging or similar transaction with respect to the Common Stock of the Issuer or changing its intention partially or entirely with respect to any and all matters referred to in Item 4.

Item 5.

Interest in Securities of the Issuer

(a)

The persons reporting hereby owned the following shares of Common Stock as of May 30, 2008.

Shares of Common Stock

Loeb Arbitrage Fund

237,599

Loeb Partners Corporation**

147,196

Loeb Offshore Fund Ltd.

59,163

Loeb Marathon Fund LP

70,361

Loeb Marathon Offshore Fund, Ltd.

47,336

Loeb Arbitrage B Fund LP

82,199

Loeb Offshore B Fund Ltd.

29,738

Total

673,592

(b)

See paragraph (a) above.

(c)

The following purchases and sales (-) of Common Stock have been made in the last sixty (60) days:

Purchases and Sales (-) of Common Stock

Date

Shares

Average Price

Loeb Partners Corp.**

4/7/2008

-734

29.44

4/17/2008

-4,600

28.95

4/18/2008

-2,453

29.28

4/21/2008

-2,453

29.12

4/22/2008

-2,453

27.62

4/23/2008

-694

27.46

4/24/2008

-2,827

29.15

4/25/2008

-600

29.27

4/28/2008

-2,453

29.26

4/29/2008

-5,042

29.80

4/30/2008

-2,153

29.63

5/1/2008

-2,995

29.15

5/2/2008

-2,708

28.97

5/5/2008

-2,453

28.02

5/6/2008

-2,453

27.58

5/8/2008

-404

27.26

5/9/2008

-2,846

27.47

5/12/2008

-1,319

29.06

5/14/2008

-2,453

28.37

5/15/2008

-2,458

27.69

5/16/2008

-606

28.01

5/20/2008

-5,590

27.28

5/21/2008

-692

28.24

5/22/2008

-3,600

27.95

5/23/2008

-1,006

27.56

5/27/2008

-10,000

28.85

5/28/2008

-107

29.69

5/30/2008

-329

29.39

Date

Shares

Average Price

Loeb Arbitrage Fund

4/07/2008

-884

29.44

4/24/2008

-869

29.15

4/29/2008

-3,607

29.80

5/01/2008

-3,336

29.15

5/02/2008

-947

28.97

5/08/2008

-1,318

27.26

5/09/2008

-837

27.47

5/12/2008

-1,029

29.06

5/15/2008

-19

27.69

5/20/2008

-1,472

27.28

5/21/2008

-1,018

28.24

5/28/2008

-503

29.69

5/30/2008

-529

29.39

Date

Shares

Average Price

Loeb Offshore Fund

4/07/2008

-219

29.44

4/24/2008

-174

29.66

4/29/2008

-894

29.80

5/01/2008

-807

29.15

5/02/2008

-165

28.97

5/08/2008

-261

27.26

5/09/2008

-183

27.25

5/12/2008

-202

29.06

5/15/2008

-6

27.69

5/20/2008

-345

27.28

5/21/2008

-253

28.24

5/28/2008

-104

29.69

5/30/2008

-132

29.39

Date

Shares

Average Price

Loeb Arbitrage B Fund LP

4/07/2008

-306

29.44

4/24/2008

-323

29.66

4/29/2008

-1,249

29.80

5/01/2008

-1,125

29.15

5/02/2008

-313

28.97

5/08/2008

-496

27.26

5/09/2008

-305

27.47

5/12/2008

-399

29.06

5/20/2008

-524

27.28

5/21/2008

-352

28.24

5/28/2008

-190

29.69

5/30/2008

-183

29.39

Date

Shares

Average Price

Loeb Offshore B Fund Ltd.

4/07/2008

-111

29.44

4/24/2008

-122

29.66

4/29/2008

-453

29.80

5/01/2008

-444

29.15

5/02/2008

-119

28.97

5/08/2008

-188

27.26

5/09/2008

-113

27.25

5/12/2008

-151

29.06

5/20/2008

-191

27.28

5/21/2008

-128

28.24

5/28/2008

-70

29.69

5/30/2008

-66

29.39

Date

Shares

Average Price

Loeb Marathon Fund

4/07/2008

-257

29.44

4/24/2008

-64

29.66

4/29/2008

-1,049

29.80

5/01/2008

-1,028

29.15

5/02/2008

-62

28.97

5/09/2008

-101

27.80

5/20/2008

-286

27.28

5/21/2008

-301

28.24

5/30/2008

-156

29.39

Date

Shares

Average Price

Loeb Marathon Offshore Fund

4/07/2008

-173

29.44

4/24/2008

-41

29.66

4/29/2008

-706

29.80

5/01/2008

-692

29.15

5/02/2008

-39

28.98

5/09/2008

-68

27.80

5/20/2008

-192

27.28

5/21/2008

-202

28.24

5/30/2008

-105

29.39

(d)

Not Applicable.

(e)

Not Applicable.

Item 6.

Contracts, Arrangement, Understandings or Relationships with Respect to the Issuer.

None.

Item 7.

Materials to be Filed as Exhibits.

None.

LOEB PARTNERS CORPORATION

Date: June 2, 2008

By:

/s/ Michael S. Emanuel

Michael S. Emanuel

Senior Vice President

LOEB ARBITRAGE FUND

By: LOEB ARBITRAGE MANAGEMENT LLC, G.P.

Date: June 2, 2008

By:

/s/ Michael S. Emanuel

Michael S. Emanuel

Vice President

LOEB OFFSHORE FUND LTD.

Date: June 2, 2008

By:

/s/ Michael S. Emanuel

Michael S. Emanuel

Vice President

LOEB ARBITRAGE B FUND LP

By: LOEB ARBITRAGE B MANAGEMENT, LLC, G.P.

Date: June 2, 2008

By:

/s/ Michael S. Emanuel

Michael S. Emanuel

Vice President

LOEB OFFSHORE B FUND LTD.

Date: June 2, 2008

By:

/s/ Michael S. Emanuel

Michael S. Emanuel

Vice President

LOEB MARATHON FUND LP

By: LOEB ARBITRAGE MANAGEMENT LLC, G.P.

Date: June 2, 2008

By:

/s/ Michael S. Emanuel

Michael S. Emanuel

Vice President

LOEB MARATHON OFFSHORE FUND, LTD.

Date: June 2, 2008

By:

/s/ Michael S. Emanuel

Michael S. Emanuel

Vice President