The one you have is a Remington -Smoot No. 1 Revolver .30 caliber spur trigger revolver with a 2.75" octagonal barrel and 5 shot fluted cylinder.
The barrel is marked "E" Remington & Sons,Illion, N.Y. Pat. W.S. Smoot Oct 21 1873. Examples dating from the beginning of production are found with a revolving recoil shield. Such examples would command approximately a 300 percent premium over the values listed. V.G. 1650 Good 1100 fair 675 poor 250.....The smoot number 2 is a .32 caliber made between 1878 and 1888 approximately 20,000 were made. Add 50 percent premium for blued finish................................I have fun restoring old guns like these. They're easy to work on and the parts are hard to find, but they're out there. I shoot mine when I get lucky enough to find ammo. I have 23 old guns I've restored in the winter when it's to cold to get outside. Sorry, but I'm not a gunsmith and don't work on other people's guns, but I might be interrested in buying it from you.