look on the Side of the recevier there should be a Serial Number on the older Ithaca Model 37 the serial Number was stamped on the receiver by the magazine tune and Barrel . also if you take the barrel off on the bottom of the barrel you'll find the matching serial Number. then look up WWW.SURPLUSRIFLEFORUM.COM in their search engine type in ITHACA 37 DOM match your shotguns Serial number up with their chart .
44350 is the serial number
It sounds as if you have a Ithaca Crass model shotgun,that was produced in the year 1903 by your serial number.
You vave an Ithaca sxs Flues model made in 1911
1951 Model 37
Call Ithaca at 1 877 648 4222 and they will tell you.
Your serial number indicates that your Ithaca shotgun was made in the year 1920.
There's a list of serial numbers by year at http://ithacagunrepair.com/page5/page23/
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
By your description,it sounds as if you have a Ithaca model Flues double barrel shotgun that with that serial number was produced in the year 1914.
1976
A clean model700 12 gauge over & under is valued at $700 - 1200 depending on its condition.
If this is an old side by side it would be a Baker model made in 1886. Serial numbers of Ithaca shotguns for that year were 2448 - 4101.
A model 37 with the serial # 10464 was produced in 1939.