Hi, Melinda. You didn't say much about William: birth, etc. I have a William Arnold MOOTY, b. 3 Jun 1918 in East Point, Fulton Co., GA. In fact he was my mom's brother. Married Virginia Morrison in 1953 and had no kids that I know of.
Couldn't be your paternal gf, so guess I don't know who you are asking about. Must be a coincidence to have the same name, there aren't many MOOTYs in America, most are MOODY.