Thanks for all the quick responses. On this trip, I ran my generator for 2 - 2 1/2 hours per day. Being a former tent camper, I still try to limit the amount of time I run it. I will definitely turn off the inverter from now on when not in use.
We normally camp with electrical hookups, so I would think the batteries have been fully charged before. But it sounds like I may not be charging the batteries enough between trips, which are sometimes 4 to 5 months apart. I normally try to take the coach out for an hour drive with the generator running under load every month, but I admit that when work is busy, it might be 2 months between charges. My storage facility doesn't have electricity to keep the batteries charged.