This seems to be the most likely family for him. It is the only one with an Ezra, of the right sort of age, in Derbishire, 1901
RG13/3237/19/7
Brownside, Bugsworth and Chinley
Adam Hill, head, 34, Coal Miner, hewer, born Chapel-en-le-Frith
Elizabeth, wife, 40, Bugsworth
Mary, dau, 17, "
Ezra, son, 9 "
Margaret, dau, 6 "
Adam, son, 2 "
Do you have the marriage certificate because that should have Ezra's father's name on it and could therefore prove this as his family.
Jen