I too would want to know what caused that.
I would think the very first thing you want to make certain of is that the ground inside your MH isn't at 120 volts to earth (as at ground point in your house panel or pedestal) otherwise you'd have a hot skin which is dangerous. Use a non-contact voltage tester to determine that. Google "No-shock Zone".
It's hard to diagnose something like this without being there, but some other thoughts:
Once you know the shore power recept. you're plugged into isn't mis-wired, you might try using the ground bus behind the converter panel as the ground reference point and use a long wire to get to your voltmeter to test hot, neutral and ground to the ground reference point at various receptacles throughout the MH.
Maybe you could also measure resistance between H, N & G in receptacles and at the panel? With shore power disconnected of course. You should have full continuity between the panel and H, N & G in all farthest recept. branch circuits.
If the table lamp is intermittent, that could indicate a faulty connection somewhere. Intermittent connections can be difficult to find. You may want to pull out every receptacle in that branch circuit and inspect the terminations as well as at the panel.
If you have an open wire somewhere, a voltage tester or high impedance voltmeter can give you a false reading. Or a tester or voltmeter may show a circuit is okay with no load, but a bad connection won't support a load.
Not sure if these will help, but have a look anyway.
The circuit detectiveHome Improvement helpIn this
Youtube vid a master electrician says not to trust a plug in tester if it says hot and ground reversed.
