I believe you have One Arm Bill's middle name incorrect. He is my g g grandfather and his name is Hampton. Their is so many Williams that I could be mistaken. Here is a link to my g grandfathers death certificate which William Hampton Lilly and Margaret Matilda Harvey are listed as his parents. http://www.wvculture.org/vrr/va_view.aspx?Id=2580278&Type=Death

Took a picture of his grave today and can email you a copy if you want.