Think this is the family you mentioned in 1841, given the children and their occupations match (if ages a little out) and there is a young Eardley with them, as in 1851. Address Fountains Buildings, Burslem
William Brook 25 - engineer
Edward Brook 19 - artist
Elizabeth Brook 50 - not born in county
Elizabeth Brook 14
William Earley 2 [ image says Eardley]
HO107, 7, 7, 10