Brent, David, and anyone else who may have been following these posts . . . I believe I may have found my man. In Wesley T. Leeper's book "Rebels Valiant: Second Arkansas Mounted Rifles," p. 304, he lists a Henry K. Brown, Co. G, noting his rank as Captain, and then Lt. Col. On another website I found the following: "BROWN, HENRY K. LTC - Enl 24 Jul 1861. Elected 27 Jul 1861. Promoted 26 Aug 1861. Signed as inspector and mustering officer."
source: http://www.couchgenweb.com/civilwar/2ndmtf&s.html

Neither of these sources state what the ultimate fate of this man was. If anyone has a suggestion as to where to look up a death record, I would love to hear about it.