Can't promise this is him but he's a possible:
1871
RG10/4518 44 4
Middleton, Yorkshire (Hunslet registration district)
Bellisle
Chas Wainwright, head, 62, Coal Miner, b. West Ardsley
Naomi, wife, 61, b. do.
John Wm Wainwright, grandson, 9, scholar, b. Middleton nr Leeds