QT-15 (1988) Tailstock Alignment - How To?

I have a very nice old QT-15. It's had a few bumps over it's life but generally is in great shape. Recently I have been working on some plastic parts and I need some end support for threading. There have been all kinds of challenges to what look like simple little parts. One big one is that my tailstock is not on lined up with my spindle.

I think I saw in a post here where someone said there was some alignment capability in the tailstock spindle. I don't see any such thing on mine. It's just a big solid spindle.

The tailstock is a hydraulic one, both travel and spindle, and it rides on it's own little bed. It's held down with 4 big bolts so I figured the way to do the alignment would be to loosen the big bolts and slide it around to get it aligned. There is not movement to get this to work.

Now I'm thinking what has to be done is to first adjust the tailstock bed to insure it's parallel to the z axis travel of the machine. I need to get a test bar to put in the taper socket to insure I'm checking the taper.

Then step two I think I need to align the head stock so the main spindle is aligned to the tailstock axis and of course the z axis of the machine.

I did have a crash once that knocked the head stock out a little. I got it realigned but never considered the tailstock axis.

Anybody got any experience on the subject?