I still have hopes for the William Hall, brother-in-law to Amy, but I did catch sight of one more that I haven't had time to check out (and still don't!)
He was born in Handsworth in 1865, and living with his sister, widow Emma Smith and her son, Arthur Smith. She is the widow of a Joseph Smith. William was living with her in both 1901 and 1911, and I haven't had a chance to look further. He was still single by 1911.