James, is the revolver a Bekeart model?
It is certainly known by collectors by that name. Certainly the SCS&W refers to them using that term. As murphydog stated, the factory referred to it as the .22/32 HFT but it was reportedly the brain child of San Francisco gun dealer and west coast distributor for S&W, Phillip Bekeart.
The story goes that Bekeart approached S&W to make a larger .22 caliber revolver than the one in current production. The .22 HE that they were then producing was on the very tiny M frame and was known as the Ladysmith. (Not to be confused with the current Lady Smith .38 caliber revolvers).
According to the story, Bekeart suggested using the I frame as the platform for this new .22 caliber target revolver that S&W was then using for its .32 caliber arms. Hence the .22/.32 designation.
S&W replied that they would not do the tooling to prepare to make such a gun without a "substantial" order, so Bekeart ordered 1,000 to be made.
As the story goes, Bekeart never received the first 1,000 produced and according to company records, only received 294 in 6 shipments in 1911. The confusing part of the story is that S&W shipped some of these guns very soon after Bekeart's first shipment leading us to think that either S&W or Bekeart knew early on that he could not retail out that many of this new model.
What is further confusing is that I have a copy of an ad placed by Bekeart in subsequent years that states that he has or is receiving an additional 1,000 guns and that they are exclusively available for sale by him.
So, like many stories of old, much is left to the imagination.
That's the long answer. The short answer is that I consider any .22/32 HFT with a 6" barrel to be a "Bekeart" model.
Those actually shipped to Bekeart command a premium from collectors and there are several schools of thought as to the levels of "Bekeartness". Anyone interested can search the forum and find numerous threads about these neat little guns.
I have 3 from the first Bekeart shipments so still looking for 3 more. Additional guns were shipped to Bekeart after the shipments in 1911, however, the factory did not keep a separate record of those serial numbers so a factory letter is the only way to learn if your .22/32 went to Bekeart after 1911.