Hi.
Rachel was living in Horton on the 1841 census and her surname has been overwritten and it doesn`t look like Smith to me. It looks more like Bin*s 
Have you considered this marriage:
6th March, 1838
Bradford Parish Church
Jonathan Binns, full age, Bachelor, Horton, father John Binns Comber
Rachel Smith, Full age, Widow, Horton, father John BROWN, Husbandman
both made their mark
Witnesses were John Binns and Charles Cravire?
Mo
also possible. that would give me Rachel's fathers name at least, i have found a burial record for Jonathan Binns in Horton in 1839 so that would explain why he's not listed on the 1841 census..
I'm searching Rachel Binns now to see if there is anything else.