Damon,
Separate the patent (to Blackhawk) and the re-issue of the patent (again, to Blackhawk) from the licensing of the use of the mechanism that is patented to others, including Snap-on. That "RE-LIC" marking is what's tripping you up.
The patent (1,896,645), issued in 1933, is for the entire coupling - a spring-loaded locking pin installed in the drive tools and the release button installed in the sockets. The first generation of the Lock-On sockets just had a hole in them, and Blackhawk sold a separate little tool like a key that fit into the hole to release them. What you are seeing on your sockets is the release button. Due to administrivial issues, they had to submit it again and it was re-issued 1934 (RE19,287). That re-issue patent number along with the original Lock-On patent or two later Lock-On related patents (angling the hole so the socket locks itself, and refining the mechanism) appear on all late 30's into 40's Blackhawk sockets.
The "RE" in the Snap-on marking refers to the RE19,287 re-issued patent, and the "LIC" in the marking refers to Snap-on using it under fee-bearing license from Blackhawk, as OTG alluded to.