Thanks Dean. I'm going to inspect the barrels with a bore scope and possibly take it to a gunsmtih. Any suggestions as to where I can find a period-correct pad?

Period correct pads.
Avoid the "Correct Period Pads" that are cheaper. They are notorious for having voids in them and are not returnable. You may find original pads floating around EBay, Gunsinternational, and Gunbroker (Caveat Emptor).

https://connecticutshotgun.co/shotgun-parts-extras/

It looks like a good solid starter Parker.

When you own a Parker you don't just own a shotgun. When you own a PARKER there is a lot of tradition and history that goes with ownership such a gun. That responsibility is not a burden, rather it is a benefit. Some people here admire their Parkers, and own many, which is fine. I own only two, but they are way out of the ordinary.

Owning and shooting a Parker is a privilege

As we discuss the benefits and privilege of possessing the Parker (or other fine shotguns), we sometimes overlook the fact that we are only the caretakers in the life of these fine guns. By the time we come into possession of them, they have already outlived the original purchaser of the gun. Some have had many caretakers in their lifetime. Some have had considerate caretakers, others not so much. I admire those that rescue those unfortunate guns and breathe new life into them.

Mr. Woods, I thank you for your appreciation of my attention to my previously neglected Parkers. I refer to them as a "shooting collection". There was not a pretty face among many of them when they were acquired.