Correction: Since the original posting I have found that my GGrandfather's name is T.W. Eaton not F.W. and that the T stands for Thomas and I still don't know what the W stands for. I've also found that he was born on 2 Nov 1826 in Shelbyville/Long Run, KY. This is according to his Civil War paperwork.
Given this new information I'm attempting to locate who his parents are as there is no reference in his Civil War paperwork to his parents. Plus there was a fire in the courthouse in Indiana that destroyed his marriage license which might have shed some light.
Has anyone come across a Thomas W. Eaton in the Shelbyville (Long Run) area of Kentucky born around the time of my GGrandfather's birth.