I've been a gun collector here in the U.S. for many years. Most sites that deal with collecting (or just interest) will give you a date range for the SN. It would be very difficult to determine much more than that for individual fire arms.
Depending on the brand or maker there may be additional information on a selected series of SN's if they were unique in some way. I have Winchester and Remington's from the late 1800's and am fortunate enough to have a couple with 5 digit serial numbers, which in itself is unique.
Best of luck!