Here's some information on the Eagle Grade Smith. Damascus barrels could be ordered as an option until 1919 so yours could have originally been equipped with them.
Jim
Eagle (1912-1939)
Eagle Grade The 1913 catalog said "In introducing this new Eagle grade, we are presenting an entirely new type of ornamentation. This is especially designed for the shooter who wishes a medium high-priced gun, highly decorated. On the left lock-plate, with a frosted background, is a ring-necked pheasant in bold relief. On the right a duck in flight. The top and bottom of the frame are frosted and interlaced with scroll engraving." The term "frosted" referred to the results from a stippling process. This technique was used on no other grade of L.C. Smith shotgun. An eagle with spread wings was engraved on the top of the lever. Each lock plate was engraved L.C. SMITH, and the serial number was engraved in the trigger guard extension. The base price in 1913 was $115. The Hunter One-Trigger added $25, and ejectors added $11 to the price. Gauges available were 10, 12, 16, and 20. The Eagle Grade was made until 1939 and 562 were made (3-10-gauge, 432-12-gauge. 51-16-gauge, and 76-20-gauge. Automatic ejectors were place on 516 of the 562 guns. The base price in 1932 was $176. It was available with Nitro Steel barrels in 26-, 28-, 30-, and 32-inch lengths. Damascus barrels were available on special order until 1919 in 10 and 12 gauges. The nicely figured, imported walnut stocks could be ordered in any grip style. The right barrel was roll-stamped L.C. SMITH EAGLE GRADE while the left was roll-stamped HUNTER ARMS CO. INC. M'F'R'S FULTON, N.Y. U.S.A.