Model 1878 Parker ID Help and FMV

[William Woods]

The number on the barrel flat does not match the number on the water table, replacement barrels set? Is there another number on the barrel set that matches that on the frame? That dent/hole is a shame on that old thunder stick.

[henry_platts]

I believe those numbers are the order number for these early shotguns, perhaps the other numbers I am unsure of. It sure seems like these barrels have been on this shotgun for a long time, I need to probably get another good look at the barrel. Is there a location for the antique ones I should be looking for?