Wade,
It's a Beyer. That rifle is pictured on page 172 of "Behold the Longrifle Again" (Whiskers). I will direct those who are interested to "Thoughts on the Kentucky Rifle in the Golden Age" (Kindig, I will respectfully refer to this as "Thoughts from here on out). Observe rifle No. 91. on page 235. The carving on this rifle to the rear of the cheek piece has a similar "delicate or slender" profile, also comparable in form are the finials of the scrolls (also note the Hunters Star). Next turn the page and observe rifle No. 92, compare the patch box on this rifle to the patch box on the rifle on RWA. The engraving on the lid is ALMOST identical, and the carving is somewhat similar in profile. 1 thing I would like to point out on rifle No. 92, look at the beaver tails and you will notice the 3 bird tracks. These "Bird Tracks" are present on everyone of Beyers best rifles, i.e. they mark the most elaborately embellished rifles he produced (it is interesting to note that Beck did the same thing only he used 2 in lieu of 3 marks or gouges). On the note of the 3 Bird Tracks look to rifles 96 and 97 you will notice that they are there also. In returning to rifle #92 look to rifle #93 and there is a rifle of the same Architecture and carving as the rifle pictured on RWA. The rifle on RWA appears (to me) to be a later rifle but in comparison to rifle #93 I believe it to be a Beyer.
Now compare this rifle to the rifle on Gun Broker. Though different in stock architecture (at the butt) they appear to be from the same hand (look at the Hunters Star, Carving, etc.). I know that the checkering at the wrist is a distraction, but as I stated before this was probably at the clients request. I believe both of these rifles were fabricated towards the end of his career .
I agree with Franks 3 phase theory, but I believe they are much more complex than that. His 1st 2 phases are much more complex and can be broken down into Henry Bishops 10+ different variations(So can phase 3 but the rifle quality degraded considerably at that point and the variations are more in the 3 to 5 range). Beyer utilized the Beck style with hints of Bonewitz and Reedy in his work also (on the RWA rifle you can see a hint of Reedy in the carving and if you look at rifle #95 in "Thoughts" note the carving below the cheek rest and the stock architecture it has a hint of Bonewitz). I have a pretty complex break down on how to grade the quality of Beyers work, I will post this tomorrow when I have a couple of hours to lend to the discussion. Till tomorrow.
Buck