If the shotgun is a hammerless double, it is a Baker Model produced in 1899 (per Dixie Gun Works, Ithaca Serialization Guide) That serial should be a 1926 production NID. sales@countrygunsmith.net
Your serial number indicates that your Ithaca shotgun was made in the year 1920.
It sounds as if you have a Ithaca Crass model shotgun,that was produced in the year 1903 by your serial number.
1924
Impossible to answer without the serial number
It was made in 1919.
612
5 years
Impossible to answer without the serial number
1905
about 1925
With the serial number that you provided,your Ithaca double barrel shotgun with the damascus barrels was produced in the year 1900.
The Ithaca Model 37 shotgun with a serial number of 349302 was manufactured in 1953. Ithaca's serial number records indicate that this model was produced in that year, making it a vintage firearm. The patent number 1849982 is related to the design features of the shotgun.