Thomas --

Thanks for your description of this action, which you mentioned as an "un-named battle". It's actually part of the Confederate defense of Utoy Creek, Aug. 5-7, 1864:

http://college.hmco.com/history/readerscomp/civwar/html/cw_009311_utoycreekgeo.htm
http://www.chattanoogacwrt.org/200408.htm

The bottom of the second webpage includes a Confederate description of the fighting on Utoy Creek.