The good Doctor Jinks may very well have such a list. I say that based only on my experience with him with just one gun that wasn't shipped to W&K, and was a much later example (#54911, shipped January 28, 1941).
I had an opportunity to acquire this gun, a target. I knew there were targets that wouldn't letter as targets, but didn't know the why of it until I talked to Ed Cornett. I'd talked to Jinks before, and got his blessing to buy the gun ("That gun was made in 1938, you're good to go."). This was ON THE PHONE, so either he has an encyclopedic memory, or pulled up a listing on his computer in a matter of mere seconds.
I bought the gun. It lettered as a target, and I was a happy camper, all except for wondering how in the world he could tell me when it was made pretty much the same as he could tell me his birthday.
I've since learned he has production information beyond that on .44 3rds. I had a 3rd Model Single Shot---6", #4807,------had it for years; and along comes #4826---an 8 ". I pretty much immediately wondered if those two pistols were made on the same day----and asked him. Here comes a letter in reply, giving me chapter and verse on both guns: 4807 was "part of the production run of 31 units completed on May 9, 1911 and entered into the shipping vault on that date." "4826 was in the production run of this model completed on June 21, 1911 and entered into the S&W shipping vault on that same day."
His choice of language ("entered into the shipping vault") struck me as odd, right up until it dawned on me there most certainly was what I'll call a shipping vault LOG (into which was "entered" what was going in---and coming out------on at least a daily basis)---and if not, then how would the marketing folks know what they had in inventory to sell and deliver(??). The next thing that dawned on me was he has more than 100,000 items in his paper collection, and some of that might very well be such logs. It is such as this that comes to mind when you sit and stare --------and wonder. The best part of this bit is it makes sense!
Ralph Tremaine