Shotguns made in the US before 1968 were not required to have serial numbers. Would have to go with whatever markings are on the gun.
Check the barrel and receiver.
You will have to find a listing of all the serial numbers from the maker for the shotguns they made and go through them.
Try Blue Book of Gun Values
Serial numbers were not required on long arms before Jan 1, 1969. Most manufacturers did not assign serial numbers to small caliber rifles or utility shotguns.
781 J and K
On the internet.
I cannot find a serial number that high in any of my Ithaca references. The link below will take you to a good summary of serial numbers for Ithaca shotguns, you may be able to find your model and date there-
Trying to find serial numbers for a western field shotgun would prove to be very difficult.There were many makers of shotguns for the montgomery wards company.some of these include mossberg,savage,stevens,and noble.It would be best if you include the western field model number of your shotgun and then we can convert that number to the original maker of your shotgun.Then we would be able to find the makers model number.You must remeber that prior to the gun control act of 1968 weapons were not required to have serial numbers on them.
It depends on what you mean. If you mean is it possible to find out who purchased a handgun or if the gun is registered by the serial number, the basic answer is, no. If you mean can you find information about the gun itself by the serial number, you can sometimes find information by contacting the manufacturer.
Do a Google search on 1903A3 serial numbers. You will find a number of sites that have the information.