Hence, we have no idea of casualties after that date through the end of the war.
You best best would be to contact the regiments "expert" who developed the web site I posted earlier.
61st Tennessee Infantry csa863@hotmail.com (Chris Propes)
http://www.fokh.org/61st%20Home.htm
I subscribe to Footnote.com where I can access the Confederate Compiled Service Records which should be the exact records which you hold for William.
Good hunting,
George Martin