Forgive the rather dull reply but there are no listings that can be consulted showing what you want, WW2 records are all still held by the Ministry of Defence although they can be applied (and paid) for.
Perhaps you know this but the Rootschat membership is a very small proportion of the population and I imagine a very small proportion again would have connections to Bingham. Have you advertised your query in newspapers local to Bingham? I note there is something called the Bingham Heritage Trails Association. Google "Bingham War memorials" brings up a load of hits to follow up.
Apologies if I am on the wrong track.
MaxD