Hmmm.........an interesting 'curiosity question' appears....
Is it possible that the generality of American vise makers might have purchased 'vise jaw screws', in the various sizes needed, from some enterprising sub-contractor firm, years ago?
It would certainly appear plausible that someone might have seen that part as a 'niche market', which could keep a small screw-machine shop profitably busy, as a specialist supplier, and also contracting with a tooling firm to supply the specific angle of countersinks required.
American manufacturing history has the example of very large numbers of specialist sub-contractors, who offered an 'off-the-shelf' specialty product, more cheaply than equipment makers could tool up to make such parts themselves.
There is a reason for this question........with 'vise restoration' becoming a bit of a fad here, could enough of the 'vise restorers' take measurements to determine whether the jaw screws seem to be made to a common spec, for head size and c'sink angle, relative to thread size?
If that would seem to be the case, which, to be sure, it may or may not, it would seem possible that someone here might have, or have a 'connection' with someone who might have, spare CNC turning capability, and be able to run small lots of these screws 'for stock'.
Modern CNC turning would be so much more convenient than camming-up a B&S, or equivalent, screw machine, that it should be really fast and cheap to make these screws.....the second op of slotting could be cheaply done by any hobbyist who has a small horizontal mill, as the tooling would be simple and cheap to do, and the operation ever so simple.
(and, yes, it may well be that all the old American vise makers made their jaw screws 'in house', and they will be of different taper angles......but it 'can't hurt' to have a look, and 'check out the possibility' of a common product.)
cheers
Carla