Impossible to answer without the serial number.
You will have to contact Remington.
That maybe you reading the serial no wrong? They only made around 307K of them ending in 1931.
Depends on how many digits follow. Never understand the reluctance of people to post a serial, did you steal it?
You can call Remington at 1-800-243-9700 and go thru the menu selection. One of the menu options is to request information on your Remington based off the serial number. You read off your serial number and the guy looks up in the database the year the gun was made and what the orginial barrel was for that gun.
Prior to 1905 is the best answer I can provide
The Remington model 4 rolling block rifle was made between 1890-1933.If you have a model 4S military rifle,then these were made by Remington from 1913-1923.your rifle has either a 22.5in barrel,or a 24in barrel.These were chambered in .22,.25 Stevens,or 32 caliber.
1890-1933 - w/ serial can date (some of them).
1907
I only have the serial list to 1931 and it's after that. It will however have a date code stamped on the barrel see related links for a page with details.
The Rolling block was made in 1907
With the serial number that you have provided,your Smith and Wesson model 14-4 was made in the year 1977.