LESESNE, HENRY HILTON. Lt., Co. I, 23d SC Infantry, 15 Nov 1861. Captain, 16 Apr 1862. Major, 22 Jun 1864. Surrendered at Appomattox. m. Letitia Margaret WELLS. (Krick, Robert K., LEE'S COLONELS: A BIOGRAPHICAL REGISTER OF THE FIELD OFFICERS OF THE ARMY OF NORTHERN VIRGINIA, (Dayton, OH: 1979), p. 216.)
Although there doesn't appear to be one for HH, Confederate pension applications for other members of Co. I can be viewed on-line at http://www.archivesindex.sc.gov/search/default.asp
Hope this helps.