I found a HENRY S. BARBOUR listed as follows:
Residence was not listed.
Enlisted on 20 September 1862 at Lexington, Kentucky as a Private.
On 20 September 1862 he mustered into "C" Co. Kentucky 2nd Cavalry (date and method of discharge not given).
He was listed as wounded 19 July 1862 at Cynthiana, Kentucky.
SCOURCE: Historical Data Systems, Inc., P.O. Bx. 35, Duxbury, Ma. 02331 >www.civilwardata.com< used "Confederate Volunteers War 1861-65".
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This is probably the Francis S. Barbour buried in Louisville. The only way to really verify and confirm it would be to see his service record or the records of the graveyard maybe.