The orig finish on that period 1894 would have been
Rust blued bbl and magazine tube
Charcoal blued frame
Color casehardened lever, hammer and butt plate.
Some small parts would have gotten a nitre blue but up around 830F so it came out deep blue/black. Not the sky blue color most think associated with Nitre bluing done at 700F(spring temper.)
You could do the entire carbine in rust blue with varied polishing gloss. Then wear the finished back a bit so it doesn't look brandy new, and it would look very presentable for it's age w/o getting into a full blown restoration and the $$ involved.
Treebone Carving and Gunville gunstocks are a couple other sources of wood. They will be precarve and 90-95% inlet wood so they will need final fit. The outsides are usually about a 220grit sanded finish and quite close to finish dimension.
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