Don't know. But there was a Duke of Beaufort (apart from the pubs). May still be for all I know. And a village of that name in Monmouthshire, if that's any help.
This doesn't really answer your question, but here is a reference to the Bristol Beaufort and one of your counties.
"The Beaufort came from Bristol's submission to meet Air Ministry Specifications M.I5/35 and G.24/35 for respectively a land-based twin-engined torpedo-bomber and a general reconnaissance aircraft. With a production order following under Specification 10/36, the Bristol Type 152 was given the name Beaufort[7][8] after the Duke of Beaufort, whose ancestral home was nearby in Gloucestershire."[9]
If this a quiz question, set by a particularly awkward quiz-setter, the answer might well be Calais.
Several towns in the Pas-de-Calais were known locally as 'Beaufort' at one time. (Beaufort Blavincourt retains that title). Calais was a British (or, more accurately, English) town from 1347 to 1558.
// The name Beaufort refers to a castle in Champagne, France (now Montmorency-Beaufort). It is the only current dukedom to take its name from a place outside the British Isles.//