This is fun. Feltwad is on to something. Some owner of the weapon in the past 170 years could have had the muzzles opened up for a cylinder choke effect. Guns this old have often been subjected to a lot of tinkering. It’s rare to find one in original condition.
My own experience with the Westley Richards ledgers is they are/ were not necessarily well maintained. The same gun could have come in for repairs, but the guy presently handling the ledgers won’t go looking for subsequent entries of the same serial number. Sometimes you have to get enough information in hand to point him in a new direction so he can narrow down his search for other ledger entries.
Question: Is there any writing on the gun that you can see about loads, drams, “not for ball” etc? A great many shotguns were made for both shot and ball, and the wider choke / muzzles could be a result of that function one way or another.
Last, WR is a Birmingham firm, and 170 years ago Birmingham was the center of English firearms production. You could get any gun made there, because there were makers for every bit and piece of guns. Even firms of WR’s caliber (
) pieced out gun orders, and some big name firms had their guns made by entirely by someone else like WC Scott. The script on the barrels could be from a passing style fad, or from the unique engraving style of the individual barrel jobber house or gun maker. A common shotgun could easily have been ordered by WR from one of the many other manufacturers there.
You have a fine weapon here in hand! Having the barrel thicknesses checked should alleviate any safety concern. Hope you use it.