Thank you very much everyone for jumping on my question! In a little while I will post models of the converter and generator.
But for now I have this generic answer: when the generator is running, and when the engine is running, on the Test Panel the "battery charger" light is green/on, exactly like when attached to a standard power hookup. I don't believe the battery is actually being drained, it just appears drained. I'm wondering how the battery could be used at all when the generator is running. The power outlets in the coach only work with the generator on or hookups attached, so I might be green to think this, but I believed the battery was impossible to drain with 110v power usage.
It's great to know the time it takes to recharge a battery is from 3 to 12 hours. I will try to get a voltage meter to see if I can read the actual level when the generator is turned off and everything appears to be dead.
