To add to
@four.cycle 's hardware store ad citing "1932 Chevrolet Special" for this axle size and thread, here are some excerpts from a contemporary K-D catalog...
...identifying it as the "BA" (or "Confederate"* model) series of cars.
Not sure why you didn't look anywhere else before arriving at the prototype/race car theory or letters to museums, but note that you can also readily find 13/16"-16 knockouts in late 1930's and early 1940's catalogs from New Britain, Herbrand, and other mfgr's.
If you look back in the 1928 Bog catalog, you'll see that they were only offering four (4) sizes of the "Drive-Out" or "Knock-Out" type pullers at that time. By 1932, which is the catalog your page is from, they had added four (4) additional sizes for both type pullers, but it was almost certainly published before the '32 Confederates* were introduced. Unfortunately, the 1937 Bog catalog does not include either of these type pullers at all, but
@four.cycle 's ad shows that they had the 13/16"-16 covered in their lineup of "Knock-Out" type pullers by 1935, and your example demonstrates that they were offering it in the "Drive-Out" type as well.
[Note that this post was made without posting any wonderful but completely irrelevant examples from my collection of vintage knockouts from other mfgrs!] (...inside joke...)
* I would love to see Detroit (or Seoul or Aichi etc) just try to name a car a Confederate today!
I have a BOG "Drive-Out" Wheel Puller that I believe was made for a special order because it is a size (13/16" - 16?) not listed on the BOG catalog page I have. All the pullers shown on the catalog page are in increments of 1/8th inch. I suspect this tool was made for a prototype or race car. I have sent emails to the Crawford Auto-Aviation Museum and the National Auto Museum about this tool, but have received no replies. I would like to hear from anyone interested in this tool or that has information regarding the car it was intended for.
