The L.C. Smith hammer gun was the begining of the L.C. Smith shotgun. First introduced in 1884. There is a no record of the serial numbers in 1884-1894? and in 1895 the serial numbers start at 27,766.
They were made in Quality AA to Quality F. Quality E was good Damascus Steel Barrels,Checkered and Engraved, Pistol Grip, No 10 or 12 ga. -$70.00
The left side of the water table of the frame was marked Pat'd Mar,83 (#274,435, Breech loading mechanism, joint and ejector system)
I'm guessing yours was made 1891-93.
In Brophy's book he states that very few are in decent shape.