In Columbia / client world, this allowed Columbia to mount an earlier-style three-screw reproducer (such as an "Analyzing"), onto a mounting hub that would fit their new (first-generation) bayonet mount tone arm.
Or, a later #5, Grand, or Concert Grand onto an earlier arm with the three-screw mounting.
It was a convenient way to use-up older parts by mix & match.
It is a valuable piece of early Disc Graphophone / Grafonola stuff, circa 1910-1912-ish.
Not sure if anyone made an adapter flange to fit Victor goosenecks... Columbia used reproducer mounts with male bayonet hubs, while Victor used reproducers with female bayonet mounts...
The first generation Columbia bayonet-mounts are slightly smaller than the ones found on 1913 - later Columbia machines. Earlier bayonets will fit later arms, but might be a bit loose.
Later Columbia reproducers should NOT be forced onto early bayonet arms, as the arms are made of thin brass sheet and are easily damaged.
Good luck with the project, Clay !
I have a couple of these Columbia reproducers, and am looking for a source for replacement isolator discs...