Google search revealed this: "Bayard Arms" shotguns were actually made by Henri Pieper in Liege, Belgium. The factory was located at #12 Bayard Street.
Pieper was a renowned maker of mid-level shotguns from the 1850's up until WWI.
This was a trade name used by Anciens Etablissments Pieper in Belgium 1894 and later. Importing utility shotguns from Belgium pretty much ended when WWI started in 1914. Making any exposed hammer double barrel shotguns pretty much ended about the same time. This gun may have short (2 9/16") chambers and damascus barrels, and if so it will not be safe to use modern off-the-shelf ammunition. Value is primarily determined by how well it looks over a yuppie's fireplace, usually between $150 and $250.
And read about Henri Pieper here: Nouvelle page 0