Look on the LEFT side of the barrel, about 1/2 inch forward of the reciever. You may see 2 or 3 VERY small letters stamped there (may need a good light and a magnifier) If you can find them, the link below will take you to the barrel code data from Remington- shows month and year of manufacture,
Need the serial number to answer.
Manufactured 1915
1931
Manufactured 1927
Manufactured in 1913
1919
1920
Manufactured 1914
Manufactured 1909
Manufactured 1916
1920
Manufactured 1931