Hi, who were William's parents. From what I've put together so far on my Dobson line, one of Charles Dobson's sons, Alfred lived in Dickinson County, KS. Which is the county
that Abilene, KS is in. I think Loave Dobson was a daughter of Alfred but I haven't learned much else on that branch of the family. She died in 1970's in Colorado Springs, CO.
Let me know if this looks like there might be a connection.

Charles Dobson was born in Yorkshire,Eng on 19 Oct 1822 and died in Cherryvale, KS on 29 Aug 1892