Thanks for the feedback and offers of assitance guys.
Brian, thanks alledgedly their is a branch of your suggested site about 5 miles from me. So will contact them in due course.
I have today followed Axminsters suggestions and I have loosened and slid forward (it moved about a mm or two) the spindle pulley and retightened it, and it has improved to an almost imperceptible wobble on the end of the mandrel and this without tail stock pulled up. Before you could see a definite oscillation. I think long term it may have had a negative effect on the bearings but will turn something in the next few days to see if my results have improved.
The motor on its own was smooth and quiet, so I know now its the spindle end that was an issue.
There is no obvious movement in the spindle, so it may have been an out of balance or misaligned pulley to pulley. fingers crossed.