Other than RHS you'll probably have a hard time tracing the serial number. Remington produced 200 pistols per day for the Army and Navy during the Civil War. Here are a couple of things about Remmy pistols:
Remington-Beals Army Model Revolver - Made 1860-1862; quantity made estimated 2,000-3,000; .44 caliber; six shot; eight inch octagon barrel
Remington Model 1861 Army Revolver aka "Old Model Army" - Made circa 1862; quantity made estimated 9,000 - 12,000; .44 caliber; eight inch octagon barrel
Remington New Model Army Revolver - Made circa 1863 - 1875; quantity made estimated 132,000; .44 caliber; eight inch octagon barrel
As you can see even Remington didn't know what was being produced and there was overlap.
Good luck, I hope you got the real deal and I agree don't do anything to it until you know the value as is.