Welcome and thanks Chuck.
Check out the ways. Look close up next to the head stock for wear on the ways. Turn it on and try and listen to the spindle for bearing spindle noise. Spindle bearings are expensive and time consuming to replace. If it is an engine lathe and it is practical to take the cover off, then do that and look at the edges of the gears to see if someone ground the gears a lot during shifting.
Keep us posted what you find tomorrow.
Steve