@Andy, the problem is the vibrators have a limited life span and have not been available in a very long time. This is due to better vibrator/transformer configurations.
I did run one with a vibrator and got two pictures of settings at different time intervals. Notice how the frequency changes. I think this may be due to how this cheap oscilloscope takes the readings. I did read the frequency on my multimeter and in the range of 200hz even though the scope said otherwise.
Ok, so just to confirm. Everything completely original as possible, but you're more than willing to ditch the vibrator unit?
My suggestion was to use the vibrator (with appropriately serviced and cleaned contact points) to drive the MOSFET/transistor/IGBT/whatever.
Due to the MUCH lower current involved and no voltage spikes, the contact points would last infinitely longer if used solely for driving a MOSFET/transistor/IGBT.
From what little knowledge I have about these things, vibrators predominantly fail from contact arc burning, so this approach of driving an external semiconductor with the vibrator should be a viable one.
But if you're willing to sacrifice originality and ditch the vibrator, that's ok too!
Are you able to at least get your existing vibrator working electrically (i.e. clean the contacts), and hook it up to the oscilloscope disconnected from the HV module? This should give you a starting point for duty cycle, then you can adjust the 555 to match duty cycle.