It could be that the thread forms differ, or even worse, the pitch.
Reading lathes UK, it looks as if the Mandrel thread is 1.5 x 8 tpi USF, so would expect to be 60 degree thread form.
If the Dividing Head has a 1.5 x 8 tpi WHIT form (55 degree ) thread, that might account for your problem.
Male Whit form threads do not screw easily into Unified female threads, even of the same pitch; they jam!.
I would check the thread on the Dividing head with thread gauges, to establish the thread pitch and form.
Howard