Status report:
1. When I pulled it all apart again I noticed that I was wrong about the loose nuts - not much movement, but possibly enough to allow vibration. Thank-you Gargoyle. I have tightened them now.
2. I went to clean the teflon pads and the round thing that runs along them, and found that one of the staples holding the teflon pads on was poking out, enough to scratch the 'the round thing that runs along them'. So I have bashed it in gently with a hammer and punch.
3. I cleaned the relevant surfaces with metho, and the cloth was reasonably clean but certainly not spotless.
There now appears to be no movement, but until I can get it outside with the 9mm eyepiece pointed at a galaxy far, far away I will not know the outcome of these efforts.
Thank-you everyone for your assistance. If all of this fails, I still have weights, velcro alongside the teflon and moving the spring thingys down a bit.
...Geoff