FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

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(Print or Type Responses)

1. Name and Address of Reporting Person * Thomas William R III   2. Issuer Name and Ticker or Trading Symbol CAPITAL SOUTHWEST CORP [CSWC] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director _____ 10% Owner _____ Officer (give title below) _____ Other (specify below) (Last) (First) (Middle) C/O CAPITAL SOUTHWEST CORPORATION, 5400 LYNDON B. JOHNSON FRWY STE 1300 3. Date of Earliest Transaction (Month/Day/Year) 05/29/2015 (Street) DALLAS, TX 75240 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Filing(Check Applicable Line) _X_ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person (City) (State) (Zip) Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1.Title of Security (Instr. 3) 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Common Stock 05/29/2015   G   14,000 D $ 0 9,529 D   Common Stock 05/29/2015   G   4,000 D $ 0 5,529 D   Common Stock 05/29/2015   G   2,000 D $ 0 3,529 D   Common Stock               571,939 I See footnote (1) Common Stock               12,000 I See footnote (2) Common Stock               4,370 I By ESOP (3)

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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)

2. Conversion or Exercise Price of Derivative Security

3. Transaction Date (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

4. Transaction Code (Instr. 8)

5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5)

6. Date Exercisable and Expiration Date (Month/Day/Year)

7. Title and Amount of Underlying Securities (Instr. 3 and 4)

8. Price of Derivative Security (Instr. 5)

9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

Code

V

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Thomas William R III C/O CAPITAL SOUTHWEST CORPORATION 5400 LYNDON B. JOHNSON FRWY STE 1300 DALLAS, TX 75240	X

Signatures

/s/ William R. Thomas III		06/02/2015
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	Mr. Thomas is President and sole manager of Thomas Heritage Company, L.L.C., the sole general partner (the "General Partner") of Thomas Heritage Partners, Ltd. (the "Partnership"). In such capacity, Mr. Thomas has sole voting and depositor power over 571,939 shares of Common Stock owned by the Partnership. Although Mr. Thomas' pecuniary interest in the shares of Common Stock held by the Partnership is limited to his limited partnership interest in the Partnership and his membership interest in the general partner of the Partnership, in accordance with Rule 13d-3(d)(1)(i) of the Securities Exchange Act of 1934, Mr. Thomas is deemed to be the beneficial owner of all of such shares.
(2)	William R. Thomas III beneficially owns 12,000 shares of Common Stock held by his minor children.
(3)	Reflects ESOP allocations to Mr. Thomas.

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