I ran into one site which noted there was only one man in this organization.

Other than that, this is all I have been able to find:

HICKS, JOSH -- Brandenburch AR Cav. Captured 11 Jan 1863 at Arkansas Post, AR.
http://www.couchgenweb.com/civilwar/misc255.html

....

Josh Hicks, Private, Brandenbuch Arkansas Cavalry, captured at Fort Hindman, Arkansas Post, Arkansas, January 11, 1863, no further records

M317: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Arkansas,
Roll 255, Miscellaneous, Arkansas A-I

Note: I do not find this unit in the Order of Battle for Arkansas Post, Jan. 11