The name Holderness goes well with the TYLERs of Billingborough!
I did quite a bit on TYLERs a couple of years ago ... but it turned out that my chap was from Timberland.
If you look at a map, you'll see that Horbling is only half a mile or so from Billingborough.
If you look at
www.familysearch.org you'll find a marriage of William TYLER to Mary SUTTON in 1767 and baptisms of their children at Horbling
1768 Sutton
1769 Ann
1771 William
1773 Mary
Did William marry Tryphena by any chance? I have note seven children of Wm and Tryphena bap at Billingborough, the first of which was Holderness Franks TYLER in 1800. There is no record on the IGI of any TYLER baptised in Billingborough before him.