This is my first post...

I'm looking for more information on my ggg-grandfather Joseph Jones from Hancock Co TN. The problem I'm running into is it lists on his headstone "U.S. Soldier of Co K 13th Tenn Calvery" however, I cannot find him on any online rosters, muster roles or in any books on the 13th. Does anyone have any information on him? or maybe information on the 13th for a reason he might not be listed. His headstone doesn't look military issued, but I have seen a picture of him in uniform, picture is long gone now though. I'll post a link for his headstone I took a picture of.

Thanks!!