I can't see any English proof marks on those barrels. I am guessing as you suggest it's been rebarreled by an.other which makes the engraved name across the top what we might call "spurious".

Looks nice though and re-stocked at some point I would think also no teardrops so guessing elsewhere (USA?). How worn is the engraving?
Cheers
T
The name on the rib doesn't appear "spurious" to me I would think it common when a gun is re barreled to use the original barrel rib.
I'd agree the butt stock is defiantly a replacement.
"Amherst NH" could the NH stand for for New Hampshire ? (Might be Ed's cousin)