My partner's Crawforths go back to his 5 x great grandfather:
i) Richard Crawforth, who was born around 1700 in South Yorkshire, possibly Easington. ( wife Mary Robinson)
ii)William Crawforth, born 1737, Easington, married Sarah Major ( born 1750)
iii)James Crawforth, 1797, Sutton, Hull, married Jane Longhorn ( they had offspring - James, Margaret, Robert, Sarah, George, William)
iv) Margaret Longhorn Crawforth, 1841, Sutton, Hull, married John Hodgson
That's about as much as I know about them as the name then dies out in my partner's line.
Hope it is of some help and please do let me know if you can see a connection. It isn't such a common name, so I imagine there will be a lonk somewhere.
Regards,
Jen