Yes, the furnace fan takes 12V power, but do you know if you're using 12V batteries or 6V batteries? If you're not sure whether or not there are two batteries, have you ever checked the water level in them? If they're 6V batteries, they may be way too low on water from charging them the last two years and not refilling them. And, since you're unsure how many batteries there are, have you ever cleaned the terminals to insure they're actually being charged?
If you're plugged in at an RV park the invertor, not the batteries directly, should be supplying power to run the furnace fan. If you're not plugged in, then the batteries are supplying everything such as the lights, water pump, control power to the refer, CO and LP gas detectors, TV, etc.
If the batteries were in good condition, with clean terminals, two good batteries should handle the furnace for one night, possibly two nights depending on your other power usage.
Bill