Hi there
familysearch.org have Norfolk parish registers (free), I checked that Briston entry and it says 20 Feb 1831 (born Dec 18) John son of John Williamson and Elizabeth Williamson of Briston, father a farmer. All the other entries show the mother's maiden name so maybe Elizabeth's was Williamson? Certainly isn't Ann Woods. This a is a possible burial for Elizabeth in Briston, 14 Sep 1830 aged 31 yrs, of consumption.
I can't see a marriage for a John Williamson and Ann Woods yet in Norfolk.Alot of Norfolk baptism records are shown on freereg.org (free) so have a look and see if you can find anything that fits.
Shirl