If Dave's sleuthing instincts are true to form, and it is the TS Light Vertical, failure to clamp that top bar only has a couple of explanations.
– Studs or casting are damaged, so the clamp nuts are not closing the split clamp.
– Summat in the split gap stopping it closing
Adding shim etc isn't tackling the problem, its creating another.
So remove the two studs (1/2 whit) and pass a feeler gauge through the split to check for clearance. While checking make sure the clamps haven't cracked through the heel, they're only cast iron. Check the nuts on their respective studs that they run freely.
Clean the bar off so it is free of surface rust and grubbage.
The clamps on mine are a very close fit on the bar, the clamp nuts only need nipping up lightly to stop any movement of the head.
Do let us know how it resolves
Rgds Simon