Best thing to do is check the auction sites. Prices vary by condition, region, time of year, etc.
Stamped on barrel, Barrel and reciever one piece.
CHeck the receiver and barrel
By the serial number and markings on the barrel.
Serial numbers were not required before 1968. If it has one, it will be on the barrel/receiver.
They have date code stamps on the barrel which can be looked up on the manufacture date link on the Remington Society of America. --- Update: It's important to note that the barrel on the shotgun MAY not be the barrel that was originally on the shotgun at purchase. Check the serial number with Remington.
Hexagon barrel what? Model? pump, rolling block, ?? Condition?
Unsure of your description- am not aware that Remington ever made a woman's rifle. The model number is usually marked on the barrel. Serial numbers, IF ANY, are on the frame. Serial numbers were not required until the 1968 Gun Control Act- I have several Remington 22 rifles that have never HAD a serial number. Remington rifles, BTW, are dated not from the serial number, but a 2 or 3 LETTER code stamped on the barrel. Left side, about a half inch from the receiver.
Remington firearms are dated using a 2 or 3 LETTER code, stamped on the left rear of the barrel. Cannot date by serial number- sorry.
Date code on barrel, check Remington Society of America - manufactured date link.
Check the barrel and receiver. SN's were not required before 1968
1920 (pre barrel date code stamp)
The barrel date code is the primary method of dating a Remington. Of course, if the barrel is not the original barrel for the gun that complicates things. The Remington factory could probably date it by serial number. sales@countrygunsmith.net