It would be helpful to know what equipment you have. Typically an Onan generator uses 1/2 gallons an hour, that equates to what 15 a night? Does the converter have 3 stage charging? If not it's charging at 15 amps? That information is on the inverter panel. That's about 10 hrs for a 100 amp hrs battery. If! You don't use a furnace. A Mr buddy heater will keep you almost warm, without draining the battery, for about 6 bucks a night in propane. Use a flashlight and forgo TV. I assume you are using a built-in furnace. They will draw down a 27 series battery in less than 4 hours.
That said, a fully charged lead battery is measured after sitting 24 hours. That voltage is 12.67v if a flooded battery, and about 13 for glass Matt. (AGM)
I boondock! It takes time to learn the ropes, but you can do it if you. Listen to and follow everything word. Is it worth the effort? Yes, you can have all the comforts, and have freedom as well, but you have to work at it!!!