Claycrusher,
Based on H&H's comments and the fact that in all probability the barrels were made after the action,[Choke proof marking was not introduced until 1887];could be replacement barrels or perhaps you have a Burford or Birmingham, Holland?
Unfortunately in the 1880's many spurious guns Bearing well known names appeared on the market, hopefully your gun is not of this ilk
I think you will have much pleasure in shooting the gun despite its vague pedigree.

Roy Hebbes