I'm surprised no one commented on this one, as J Fleeger was a good maker. He was also a very good engraver, and the engraving on the cap box is no doubt done by him, as well as the side plate. No telling whether he made and installed the target sights, but a rifle in one of Whiskers' books shows a J. Fleeger with a tang sight, so maybe so. He carved his earlier rifles with full patchboxes, but kept up the fancy engraving work even on his later ones, like this one.
This rifle might have been fullstock originally, and a good close look might show what it was originally.
Consider that target shooting was the #1 sport in the US up to about 1900, and I think this gun was made about 1850-ish, so probably punched lots of targets!
The two triggers are not a 'safety' but are called set triggers. If they are still working okay, pull the rear one back until it clicks, and that sets the front one to a very light pull, or 'set' trigger. The small screw between them adjusts how much pressure it takes to trip. Set triggers were very popular on hunting and target rifles for many many decades and are not unusual.
Thanks for showing it,
John