The serial number indicates your gun was manufactured in 1949.
The serial number indicates your gun was manufactured in 1966.
The serial number indicates Ithaca manufactured your Model 37 in 1956.
1950
(1949) - 202951 thru 302500
The serial number indicates your Model 37 was manufactured in late 1969.
There's a list of serial numbers by year at http://ithacagunrepair.com/page5/page23/
1926. sales@countrygunsmith.net
1975
There is only one serial number per firearm. Yours is post 1953. Call Ithaca and they should be able to tell you == ==
Manufactured in 1898
Manufactured in 1905