Hi,
A possible John just 4 miles away from Sulgrave,
Baptism
Moreton Pinkney, Northamptonshire
John ye? son of
Francis and Elizabeth BEDDING
was baptized May 11th 1707
Hard to read but I think it is May 11th.
The marriage in 1731 at Sulgrave says John BEDDIN of Morton.
There is a couple John and Hannah/Anna BEDDIN/BEDDING having children in the 1730s in Moreton Pinkney. Is this the family you are looking for?
Regards,
Daisy