Gary,

I'm having trouble finding any details on this man. Just as speculation, could this be a transcription error?

http://www.researchonline.net/sccw/rosters/1sthagf2.txt

Williams, W. W. - enrolled at Columbia, July 9, 1863, and assigned to this Regiment by the Commandant of Conscripts, July 9, 1863; died May 7, 1864.

Jim Martin