|The only entries I can find on Ancestry for a father John Baines are with a wife Nancy or Ann, also several more children, although there is some discrepancy in dates. I found this marriage, which ties in date wise|
Name: John Baines
Event Type: Marriage
Event Date: 11 Oct 1794
Marriage Place: Saint Mary,Lancaster,Lancashire,England
Spouse: Nancy Beaumont
Register Type: Parish Register
This seems to be the only family in Claughton who fit in this period.
Hope this helps.