Jack: so far we've identified Belgian maker's marks on Sears/A.J. Aubrey/Meriden Fire Arms Co. from Jean-Baptiste Delcour-Dupont/Canons Delcour, Henri Pieper, Heuse-Riga Fils, and Lucient Clement. The latest Sears catalog that I've seen is 1909, so I don't know how long Damascus barrels were offered. Pete M is collecting serial number information, but we have no way of connecting those numbers to the date of manufacture.
The manufacturing facility was sold to New England Westinghouse in 1916, possibly because Westinghouse had just received a contract to produce Mosen Nagant rifles and bayonets for Russia. Some guns were produced in another facility on Center Street in Meriden until 1918 when Sears announced that the Meriden Fire Arms Company would discontinue the manufacture of sporting guns.