John and Frances had 5 children all baptised at Willington in the period 1792-1803 (see IGI at
www.familysearch.org). I think they were born in Willington too, as in 1851 and 1861 James, living in Gt Barford, gives Willington as his birthplace.
There's a marriage on the IGI at Bedford St Paul in 1788 between John Goodenor Goodwin and Frances Woodroffe. Have you checked the parish register to see which parishes of residence were given, and to see if the witnesses provide any clues?
James and Ann had 12 children baptised in Gt Barford 1816-39, but I can't see their marriage on the IGI. The last of their children, George, was born after the start of civil registration, and on
www.freebmd.org.uk there's a George Goodwin birth in Bedford Registration district (which includes Gt Barford) in the Dec quarter 1838 volume 6 page 16. If you order the certificate from the GRO it will show his mother's maiden name. She seems to have been born in Bedford 1795-7
David