Bill Murphy is right-they are Savage 410 ers and should pop right out. The gun appears to be a totally refinished G Grade with damascus barrels that were blued.

Nancy, you asked for an evaluation on your Parker.

It has been refinished. The ends of the barrels have been either shortened or 'trimmed' and I'm not convinced we're seeing keels under the ribs.
If the bores are decent under those sub-gauge inserts - all things considered, I think you would be fortunate to get $2,000 for it if you find the 'right' buyer.

Nancy, your gun is heavily refinished in a non original way. The Damascus barrels are blued, which is not correct. The other metal parts have been colored by an unknown method resulting in a non original finish. You must give us barrel length and pictures of the rib at the muzzle so we can determine whether the barrels have been shortened or not. Your gun is not of interest to a Parker collector, unfortunately. The insert tubes are worth about $75. Let us know if you have had success in removing the tubes. Any attempt to bring your gun into a more original condition will just result in more expense and will still not be original. Don't invest more money.

Perhaps I'm seeing a shadow line from something but the barrels look as though they've been sleeved as well? It's very faint but the joints are in line with the "M" in Damascus.

Cheers
Marcus

By Jove, I think he's right!

Nice eyes indeed-
 

Marc may well be right- there is a faint line in line with the M on both barrels in that area- might be fotoflash- but it looks like the reblued barrels in the breech area have a different "sheen?" nice older Parker but some of the marks on the receiver near the engraved ovals seem strange- not being a photographer, I'll leave it at that-

Nancy, if your magnifier inspection proves the latest revelation correct, your gun has been sleeved with fluid steel tubes, probably by a skilled craftsman, and will probably have excellent bores. See if you can find any markings that may give a clue to the identity of the person who did the work. If no European proof marks, it was probably done in this country, maybe by Frank Lefever and Son in New York, not a bad sleever in most cases. The nearly invisible seam resembles his work.

Hi Nancy, I am Mike. I own a gun appraisal service in Northern California (Sacramento Area) called "This Old Gun", specializing in early American sxs's. My email address is thisoldgun@gmai.com. I would be happy to look at your Parker and give you my opinion.

Good Luck