Exhibit 32.2

                      Certification of Secretary-Treasurer

  Pursuant to Section 1350 of Chapter 63 of Title 18 of the United States Code




         I,  Susan  K.  Hodgson,   Secretary-Treasurer   of  Capital   Southwest
Corporation, certify that, to my knowledge:

         1. the Form 10-Q, filed with the Securities and Exchange  Commission on
August 6, 2004  ("accompanied  report") fully complies with the  requirements of
Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

         2. the information contained in the accompanied report fairly presents,
in all material respects,  the consolidated  financial  condition and results of
operations of Capital Southwest Corporation.


Date:  August 6, 2004                   By: /s/ Susan K. Hodgson
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                                           Susan K. Hodgson, Secretary-Treasurer