Hi Ken
I've found some possibles in 1851 in Greenoak, Bellasize near Howden.
Are you working backwards or forwards?
The ones I have found have William aged 50 in 1851 & Mary aged 37, with children ranging from 22 years [previous marriage] to 11 months - Lydia, Mary, Joseph, Harriet, Henry, Emma, George & Edwin.
Does this sound like them?
Regards
SandraC