Here are the photos of the other lifters barrel flats

The serial number for the barrels are likely on the left side of the barrel lug. The numbers on the right side of the barrel flats could be a production number as somebody already stated. Left barrel side of lug.....

Well my eyesight sure isn’t what it used to be. Sure enough there was a serial number hiding on the upper part of the left side barrel lug. I was happy to see the number there matched the other components on the gun. That is welcomed news. The 5 digit number on the barrel flat really threw me for a loop, I just assumed it was a serial number. Thank you gentleman for the advice on that one.

With that being said, a matching gun is worth of more attention in my perspective. Do any of you gentlemen know of a stock maker familiar with these old Parkers that might be up for the task?
I know this would be no small task (or cheap).

Thank you all kindly for the advice so far!

Aron, it's difficult to tell from your pictures but it appears the right hammer may not be original to the gun. It appears to be unengraved, but again it could just be a bad angle in the picture.
I would suggest you have the dent raised in the barrel, assure yourself of the safe function of the gun and then take it out and shoot it. What ever form of restoration you decide to do can be considered over time. A replacement stock will be a challenge to find and will likely need to be properly refit to the action. The top quality stock makers can make a stock of the correct grain figure and profile it to original shape and length of pull of your choice. The resulting stock will be top notch and look way finer than the rest of the gun. However, the price will likely be worth more than the guns value, even before any other work being done. There are men around that are not professional stock makers that could likely do a good enough job to make a stock to look close to correct for a more reasonable price.

That is good advice. I would have no intention of selling it, but logic must be applied when considering how much work vs value of finish product.
I did look over the hammers, thankfully they are original and engraved to match.
Thanks again for the input!