The 60V from hot to ground and from neutral to ground are caused by capacitive voltage divider, not inductive coupling. Some electronics (like the converter) have emi capacitors from hot to ground and from neutral to ground. The sum of these two voltages will add up to 120V.
Even though the 60V seems daunting, it is harmless. If you were to measure this voltage with an analog meter you would get about 5V, not 60V. The analog meter has lower input resistance, similar to what the human body has. In other words, if a human grabbed a hold of hot and ground or neutral and ground, they would only "feel" 5V. Of course I'm talking about an inverter that is NOT bonded.
vermilye wrote:
While I obviously can't prove it from here, I suspect the "stray" voltages you are seeing are inductive leakage. The high impedance of your volt meter don't load the connection enough to eliminate them.