Just looked on Geof Waldens site for Mill Springs and he states the following:-

"The flag of the "Conasauga Volunteers" captured by the 10th Indiana Infantry may have belonged to Co. H or Co. F of the 19th Tennessee Infantry."

http://web.archive.org/web/20091027111405/http://www.geocities.com/Pentagon/Quarters/1864/flags2.htm

Alan thrower
England