Thank you for posting the pics, even though there's none of the barrel breeches and the chamber undersides.
What gauge is it ?
I can't make out the watertable markings (too small for old eyes), but I have both good news and not-so-good news.
Your uncle's shotgun was manufactured in 1905.
I cannot be sure, but the watertable will have the frame size, usually commensurate with the gauge.
In looking at the particular engraving pattern, it looks like your uncle's gun is a grade "D", "H" (hammerless), and maybe also an "E" if it has ejectors (you didn't say, and there's no pic).
That is supported by the letter "D", you report it has.
So, it's either a DH or a DHE grade, IMO.
To give you an idea of where that falls, in the Parker scheme of things, the Parker hammerless grades are (from the best to lowest): Invincible, A-1 Special, AAH, A, B, C, D, G, P, VH, Trojan.
That said, it's time for the "not-so-good" news, most of which you already know, and some of which I don't, due to no barrel pics or condition description.
"Condition" is everything, and with Parker shotguns, the value is based upon the remaining percentage of the receiver's case hardening colors - and your gun appears to have none left.
Due to the lack of info, I cannot comment on the barrels.
The forend checkering is obviously seriously worn off.
The buttstock needs replacement - an expensive proposition, for restoration - if you had that in mind at some time.
The "Ranger" recoil pad is an aftermarket addition, and the stock may/may not have been shortened for it's installation - it doesn't make any difference, because of the wrist break/repair and the gone checkering.
Unless it's to be kept "as is" , for a momento, it needs to be replaced.
Other than that, it's an example of what many of those guns were - hard-used tools.
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