Seems likely it is

I havent been able to follow another William with Dad Thomas
More ensus for one on BCC
1861. Bell End, Rowley Regis.
Rebecca Willetts, head, W, 57, Nailor, Halesowen
William, son, 19, Nailor,
Joseph, son, 16, Nailor
(poor image)
Sarah Ann, daur, 8
? Lodger, 59, Nailor,
All others born Rowley Regis
1871. Mincing Lane, Rowley Regis.
Charles Bibb, head, M, 70, Nail Maker
Rebekah Willetts, boarder, W, 66, Nail Maker,
Joseph, boarder, 26, Nail Maker,
Sarah, boarder, 19,
All born Rowley Regis.