There is no mention of a gildhall in any of the Pevsner editions. However, Historic England has a listing for Guildhall Cottages that back on to the church of St Mary the Virgin. Whilst the pair of cottages are c1700, it says "most components are reused and re-cut from a C16 (or possibly C15) building on this site with heavy framing; of this building White's Directory 1855 states:- 'The guildhall (now the school house) was settled in the 15th Ed IV (1476) for the benefit of the parishioners." So we likely have here a building on the site of, and using components from, a former gildhall.
Thanks to the late Patrick Taylor for pointing me in the right direction on this one.
Thanks to the late Patrick Taylor for pointing me in the right direction on this one.