There was more than one Sutton in England and I don't think it was the Cambridge one, which is 30 miles from Upton, which according to your post on the Northants board is where he married.
Very quick reference to Google maps shows that Castor, Upton and Sutton form a triangle in Northants, all no more a mile apart, so I'm pretty sure it's Sutton, Northants that you need.
Castor, Northants and Sutton Cambs baptisms have both been extracted onto the IGI. There are no Hawkins in Sutton Cambs, but quite a few in Castor, but of a much earlier generation.
Hopefully your post on the Northants board will get a result
David