Thanks for your comments, Chaps!

Jason,
I never thought of the scroll position making much difference, compared to the mass of the body casting.
But, I spun it up in the lathe with the jaws set at several different diameters, also with the outside jaws.
There
were variations of
slight vibration, but nothing like there had been.
Stew,
I wondered at the time of fitting, if it was
right, like that. But it never changed in it's accuracy.
So, I just accepted, that's how it was.......
My lathe is much lighter, and more sensitive to out of balance forces than yours. (I guess)!
Peter,
The adaptor is steel. With only the two, three hole stud patterns. I assumed it would be "self balanced". (As in, no casting flaws).......
The drilled area is the only part with any thickness of material, which could have an inclusion.
Thanks John,
The protector is only a piece of old t&g floor boarding. But it's saved the bed several times, when my fumbly fingers have let go.......
The chuck arrived in Scotland this afternoon. Perhaps the new owner might have some comment to make.......
More drilling to follow.......
David D