Hello Wendy and welcome to the PGCA.
It looks like the serial number on the trigger guard tang reads 227443 and if this is the case the book shows it to have been made with a capped pistol grip which, obviously, is not the case. I've seen the style of engraving that yours displays on the barrel breech and I don't think it is "Parker" and perhaps someone else can offer an opinion as to who made those barrels. It is also shown to be a twenty gauge with 28" barrels but having been replaced at some time, they may or may not be 28" today.
We caution you about this smith who "says he is familiar with Parkers."
Please tell us where you are so that we can recommend someone who we know is a Parker expert. The problem you are experiencing is known to many of us and it is perplexing, frustrating, and repair should not be attempted by just any smith.
Incidentally, you have a very desirable Parker in very nice condition and it is worth a bunch of money despite the replacement barrels. Please show us some pictures of the whole gun.
Good luck to you.
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