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Another attempt at loading images

The bores are bright and shinny! What is the best way to get a good picture for you?

As for the checkering on the cheeks use a magnifying glass to see if you can see a round doll rod looing spot in the checkering I sort of see something in your third picture not sure. It doesn't look factory to me but other may say different.

What does "round doll rod looing spot" mean? The local dealer in older firearms locally, seemed to think that the gun was ordered with several "options" that may have an impact. Is it possible that the additional Checkering was added by a different craftsman than the original stock? I can't see any indication of a repaired stock, but then I would not know how to tell. I do detect a difference in the checkering that you have identified, but unsure how that could have happened.

Sorry, that was supposed to read Doll rod looking spot, meaning a repair to the head of the stock and some would checker to hide the repair. Yes, someone could have just added the checkering, but I don't think its factory.

I do not believe the stock was repaired and has not been identified by a local collector and dealer, but thanks for your thoughts.

A “dowel” is sometimes used to repair a split head, when structural integrity has been compromised. The ends of the stabilizing dowel will be visible, adding checking on the cheeks make the repair less prominent.
The subject gun may have had no repair work, the owner may have just desired additional checking.

I am sorry to report that my uncle has decided that it would be best to find someone that appreciates his Parker and has asked me to help him find a buyer. Is that something that is allowed in any of these forums (I am a member now)?

That person might well be a member of a future generation of your family. I can tell you that being the keeper of a family heirloom like this Parker would be appreciated every bit as much as your 3 times great grandmother's engagement ring. Might be hard to believe for someone not into the shooting sports but do someone a favor and buy this from your uncle so you can pass it on to that lucky family member. Just a thought.

Good advice, but I would like to see he gets a fair/market value for it and I have no idea what would be fair.