Yes, Jeff in Ohio is correct, you have a Remington-Beals, a forerunner of the improved Remington 1861 Revolver, or the further improved Remington New Model Revolver (which was the most made iteration). All three were made in either 44 caliber (the "Army" model), or 36 caliber (the "Navy" model). PLZ tell us which caliber you have.
I agree, your photos are a bit dark. Can you send us pix of the rear of the cylinder, one from the side, and another from the rear. The Beals did not have cylinder safety notches, the same for the M1861 Army, (Flayderman states some late production M1861 Navies did have notches). If Flayderman is accurate to this detail, you seem to have a Beals with safety notches, which might be a replaced cylinder from a later version.