I think they are different William Booths, or cannot be assumed to be the same person based on what we see here.
CH found evidence of a pension for the one fellow who was either 38 or 47 in 1863, depending which age we think was right on the censuses. The draft record found by Marion says he was 24 and single in 1863, so that can't be the same person.
In addition, as Mark points out the two findagrave memorials seem to be for different people, with different ages and different cemeteries. The first has an "unknown" plot and the second has a headstone that lists the company of service plus his wife and son. So i would say the info from CH is likely belonging to thw second findagrave, and the draft registration may or may not belong to the first findagrave.
Looks like there should be multiple profilea for this though.