There is a Badhamsfield marked on this map which might fit the bill. Look on the far left about halfway up.

https://maps.nls.uk/view/101453691

It's also marked on Streetmap but doesnt seem to be indexed.

http://www.streetmap.co.uk/map.srf?x=363696&y=207332&z=120&sv=Yorkley&s...

Expand the map to see it.