I don't know if you have found any information, but your answer is listed on the following website:

http://www.itd.nps.gov/cwss/regiments.cfm

Jessee Hardesty (First_Last)
Regiment Name 1 (Butler's) Kentucky Cavalry
Side Confederate
Company
Soldier's Rank_In Private
Soldier's Rank_Out Private
Alternate Name
Notes
Film Number M377 roll 6

Rebecca