The 10 Tennessee Cavalry regiment was organized in February 1863, men from Henry county served in Companies I and K. There are no service records for men of these companies subsequent to the muster held August 27, 1863. This is true of the other companies of the regiment. As such, we cannot ascertain service of William, nor that of the Hammond brothers.
I find nowhere records for any of these men.
What information do you hold to tie him to the 10th? I would ask the same for the Hammond boys.