Kenny said:Your tailstock needs to be flat on the ways and on center height with the headstock. If there are shims in it, sounds to me that somebody replaced the tailstock on the lathe and it was not at correct height.
If it is tilted front to back, it is usually a sign that there is a chip, gaul or something between the tailstock casting and the base casting. Find that and lightly file it smooth. If the rock is caused by shims, you will on have continued problems with the tailstock alignment.
If it is shimmed, every time you unclamp the tailstock, you take a chance of shifting a shim and causing a misalignment.
The bottom of the tailstock and the ways where they sit do not normally wear very much, not a normal moving part of the lathe.
Side to side alignment is pretty easy, getting it on center height and keeping it there will be your real problem.
Safe turning,
Kenny
Amen! Absolutely correct.
Dick