My GGF was Willie/William Carroll. He was married to Belle. They lived in Fonde, Ky in Bell Co. He was a trapper. I know very little about them, my GMother was Cora Carroll Hodge. I know that Mammow had brothers named Mac and Barney, and a sister, Mary. There is very little info about them in the census of Bell Co. I know they were Irish. Mammow was born in 1900, as to when Willie or Belle were born, I have no idea. So, your William might just be my Great Great Grandfather...My Carroll line has been at a standstill because of lack of info. I hope what little info I have, has been a help to you. Good luck in your search!