Good Morning.... From the Blunham with Mogerhanger parish register transcript...
There wasn't a marriage at Blunham for them, but there is an entry for Banns there on 29 Mar 1789 for Henry Hills to Mary Goodchilds of St.Mary's Bedford
The marriage was at Bedford St.Mary's on 13 April 1789 where Henry Hills from Blunham to Mary Goodchild. However that is the only Goodchild/s name in that register.
There is a burial of Mary wife of Henry Hills at Blunham on 22 Mar 1799.
The subsequent marriage of Henry Hills to Mary Reed on 6 Jan 1801 doesn't say he's a widower.
This could be him? or it could be the Henry Hills baptised 2 Apr 1775, son of John & Mary Hills ? probably not as he was buried at Blunham on 16 Feb 1778.
The Henry Hills baptised 7 Oct 1759 was the posthumous son of Henry Hills & Ann his wife. There is a note that says 'Register does not state whether baptised or buried' however BT gives baptised. On the same date there is a burial entry for Henry posthumous son of Henry Hills & Ann his wife.
I wonder... that as the register wasn't sure it was a baptism or a burial that they recorded it in both places when they did the transcript? However if it was a 'posthumous son' then does this suggest that one of the parents Henry or Ann had died beforehand, I cannot find a burial but there were no further baptisms of their children in Blunham after then.
There is a Henry Hills married to Ann Luke at nearby Roxton on 22 June 1752
Regards John