By posting a question here with the maker's name and serial number- IF it is a military issue carbine.
If you would post the serial number and model number,I can give you a date of manufacture.
Blue Book of Gun Values
try the military forum on gunbroker.com they will help you on this
Post the whole serial number on here.
1921
Go to proofhouse .com with Colt serial number to find the date of manufacture.
There is a web site called "marlin manufacture dates", but it will only give you the year of manufacture, not an actual month and day. Seeings as you already know that it is an 1883 rifle, then you probably know as much as you are going to find out about the rifle.
1958-61
Subtract the first two digits of the serial number from 100 and that will be the year of manufacture for this rifle. 100 - 27 = 73 "1973"
The Winchester Buffalo Bill Commemorative rifle,or carbine were made in the year 1968.
The Wikipedia site for marlin 336 rifles includes a table showing how to use the serial number to find date of manufacture.
If you wish to supply the serial number,I can look up the date of manufacture for you.The serial numbers for the Springfield trapdoor rifles and carbines are in the general domain for people to find.