Hi S,
Taken a look at the 41, unfortunately this census does not give actual place of birth just the county, there are some that would fit roughly though.

I found this on the 1851 might be of interest.
HO107/2319/126/26
4 Lords Court, Water Lane, Leeds
Joseph Gibson h.m. 30 Waterman b Leeds
Ann wife 30 "
Eliza Goodacre dau 12 B Bramley
William Goodacre son 7 "
Thomas Gibson son 1 b Bramley.
Obviously a second marrage for her.