OK, so I got some clarification today...
This thread prompted me to get some of my lost or worn out C'man branded rethreading dies/taps replaced, so I figured I'd go to the original source... Jawco. So I emailed Jawco with some questions on sizes/packaging late last week and instead of a return email, Jim Williamson (owner and founder's son) gave me a call (How's that for service?!).
Anyway, we had a good conversation and he let me know that Jawco was not the OEM of my late 90's C'man rethreading set. Turns out that Jawco was the supplier to Snap-on until 1986 when S-o decided to make their own rethreading dies/taps. S-o eventually gave up their in-house endeavor and now A&E/Lang/Kastar (All the same co.) supply Snap-on and most other private label brands.
Jawco's the original, and if you want them order from their website.
http://www.jawco.com/index.html