It appears the breech end of the barrel has been shortened, based on the current location of rear sight, and that probably removed any name or initials on the top barrel flat. There were probably initials or a name stamp about where the breech is heavily pitted near the tang, and another set of matching "dots" were once on the other side of the name but lost with barrel shortening.
The "Henry Parker" lock is a commercial lock, purchased by the gunsmith from a hardware store, so it doesn't help us identify your rifle. It would assist the identification process if you could post additional, more complete images of the rifle, so we can really see what it looks like. Perhaps post a front and back view, showing the full butt out to about 8" past the lock plate, and a full-length front view, so we get a better feel for the gun's stock architecture, shape of comb and wrist, etc. It would also let us see if, and how much, the barrel has been shortened, which can affect value. Sometimes a picture of the tang will also help identify a rifle.
It's a nice rifle, especially with the cap box in the butt with engraved border. These mid-century percussion rifles tend to look rather similar at times and are harder to identify if not signed, but perhaps we can put it in an area for you. From what I can see, I'd initially guess Pennsylvania, but seeing more of the gun could change that.
Shelby Gallien