ADM, this is the tailstock clamp from my ‘38 SB9 workshop. Fits great, I always thought it was standard, but maybe not.
My lathe is a “C”, but produced a couple yrs before SB started the A,B & C designations.
I think (?) judging from the top spindle git oilers, yours is from the same time period.
I think our lathes are the earlier “modern” models, as SB was phasing out the 9” junior (or heavy9) at this time period.
I could (of course) be wrong about all of this.
But I don’t think so.
Cheers, Harvey