Just my thoughts, but I think that this pretty face needs a new lease on life. Find a barrel, triggers and lock that fit, and put it back right. Good chance that it never had a signature on the barrel so you don't have to put anything on it. You can most likely find a lock and perhaps even triggers that are of the period. If you have to make them yourself, so much the better.
Two holers are pretty rare, even in loos. It will display real well and make you proud, and besides, putting it into shape will lift it from being a study piece to a real gun again. Thanks for sharing the piece with the brethren, here. Cheek rest suggests Soddy/Daisy to my eye.
Dick