Sounds like a Colt 1877 "Thunderer" New Double Action Self-Cocking revolver or a 1878 Frontier Double Action.
The Thunderer was made from 1877 to 1912, the Frontier DA from 1878 to 1905.
The Thunderer has a single action type loading gate, the Frontier has a much smaller gate, and a long, deep groove in the side just behind the loading gate.
Both were available in .41 Colt, with the Frontier also in .22LR, 32-20, and 38-40.
The 1877 Thunderer was available in barrels of 2.5" and 3.5" without an ejector, and in 4.5" and 6" with an ejector rod.
The Frontier model had barrels of 4 3/4", 5.5", and 7.5". There were 51,210 made.
The .41 caliber 1877 Frontier Model is rare.
Prices for the Thunder are "about" $400 in poor condition with short barrels and no ejector, about 500 with longer barrel and ejector.
Prices for the Frontier Model are about $400 in poor condition.
Here's a online serial number guide that may help you ID the year it was made:
proofhouse.com/colt/I'm not sure if .41 Colt ammo is still available, and I'd strongly recommend having a gunsmith check it out before firing it.
Treat it gently, these first Colt double action revolvers have delicate actions that are easily damaged or broken.