Thanks all for the inputs.
Glad I missed that one. Dunstable?
Yes indeed! I was there with the club parking cars all morning. It should have been a giveaway that the 'scope was still on the stall after midday, alas I am a sucker for a project.
Don't trust the measured values - they break down under high voltages.
A good point, I will keep that up my sleeve.
I'm assuming that the horizontal position knob is not able to bring the trace back on screen. Try this: Put it in XY mode with the input coupling set to GND and both channels to 1V/div. See if you can put the dot in the center of the screen, if not get it as close as you can. Then focus it as best you can. Then move it around vertically and horizontally to see how far it goes and what V-POS and H-POS inputs are required. Also observe if the focus of the dot changes as it moves (don't readjust the focus).
Ok, starting off with a nice small dot in the center of the screen, auto intensity is fully CW, Auto focus ~1/4 turn CW.
Moving horizontal to the right will cause the dot to get more intense. Hard to quantify but 2 divisions to the right is noticeably more intense than at the center. It seems fairly linear, the dot at the right of the screen looks as bright as the dot in the center of the screen when I have intensity maxed out.
Moving horizontal to the left will cause the dot to get less intense. 2 divisions to the left of the center it will fade out completely. I can change this by reducing the auto focus so that it is still visible 3 divisions to the left, then 4 etc. The further right I go, the more intense the dot, because I have to change the focus setting to keep it visible on the left.
If auto focus is fully CCW I can just about get a feint dot at 5 divisions left of the center. Part of the center of the screen is lit up with a wide vertical band about 6 divisions wide (the sort of thing you see when the trace goes off screen).
Vertical position isn't really affected by this. If the dot fades out at 3 divisions from the left on the center line then it exhibits the same behavior at the same point horizontally in any vertical position.
Do you have an HV probe?
Don't own one myself but can get hold of one.
broken tube

Not found a great deal about failure modes of these tubes, one or two posts about anode connections degrading and breaking but nothing to convince me yet. I can get a dot on the left of the screen, it just requires a lot of twiddlin'.