Baker made some SxS's and drillings in Lisle,NY before moving over to Syracuse. Could be one of those early guns(?).
The earlier the better for collector interest.
One of his business partners at Syracuse (the first of his Syracuse ventures) was Lyman C. Smith (and Lyman's brother). When WmBaker left the company Lyman took it over and continued to produce 'Baker' shotguns for a while. The design evolved later after some refinements and new patents into the L.C.Smith. That's the connection there.
Baker went on to found the Ithaca Gun Co with another group of investors and partners. Their first shotgun was the 'Ithaca Baker Model'.
Left there and went back to Syracuse again and started 'Syracuse Forging Co',,making the 'New Baker Shotgun'. The company renamed the Syracuse Gun & Forging Company. That burned to the ground.
They moved to Batavia, NY and started it back up as "Baker Firearms Co." in the late 1880's. Wm Baker died shortly after the move there.
Any marks on it to indicate Syracuse, NY or Lisle, NY ? (or any other location of mfg'r?)