I don't recall needing to define the base frame for doing such. It sounds like you selected "allow_move__of_userframe", which is correct. Check your baseframe, it should be 1,0,0,0. If you start with the torch vertical, it should not only follow, but also hold the orientation.
So it is following, as it should, but I thought that there was an orientation change, from the way I read it. Now I think that what you want is stationary torch while table rotates work piece. Program an ArcC opposite the direction of rotation with a speed exactly counter to the surface feet per minute of revolution.
So you have a tilt AND turn, not just turning. If you are also tilting, you might need to reorient as needed throughout your circle. What type tcp did you teach? 5 point?
Try 4 point + z is most common for weld torch. "z" must be same orientation as point 4, important!
If the robot "rotates" / follows your pointer, then it means that your coordination is working correctly (assuming it doesn't drift too far from the pointer).
If you want the torch to stay stationary / maintain it's orientation while welding, then you have to program it that way.
When you jog the positioner, switch your robot to World and Linear before switching to the positioner, if you now jog the positioner the robto should stay still and you can adjust the positions more easily.
How you "record" the positions doesn't matter (i.e. you don't need to jog it coordinated to have the "playback" be coordinated), just make sure you have the correct workobject active the whole time.
What kind of part are you welding ?
Do you have a system module that looks like this? MODULE sOffsetTools(SYSMODULE,NOSTEPIN,READONLY)
