I posted a link in the related links section that may be of some help.
There were BATAVIA SPECIAL shotguns, BATAVIA LEADER, etc, made with both steel and damascus barrels. Condition is key, but $300-$400 is realistic. The serial number is 93269.It was bought in 1960.Batavia NY is stamped on it.
about $3500
Check out the German Gun collectors web site. Your gun was built by Schilling in Shul which is Germany
This shotgun is in the neighborhood of 100 years old. There is fairly extensive information online available on this shotgun.
nitro hunter shotgun single barrel with exposed hammer stamped belknap hdwre and mfg serial 5516
never used by the military they were manufactureed from 1884 until the 1960's they are not particulary valuable, perhaps between $50 and $100 in best of condition These shotguns should not be fired as the barrels can rupture if they are made of damascus steel. hang it over your mantel
No way to tell without more information.
describe the type of shotgun and recheck the serial number
Folsom was a brand name used by the Cresent firearms company,which was in business from 1888-1932.If your shotgun has Damascus barrels then it was made from 1888-1900.If it shoots standard smokeless powder shells,then it was made from 1901-1932.
Blue Book of Gun Values
They are date code stamped, see related links for information on the Remington Society of America.
Model designation