What do you mean by "hooked it up to the house line? A dogbone adaptor with 120volt adaptor plugged into the 50 amp plug?
Did anything elso work when plugged in? Lights? You could have some breakers tripped. If your batteries are dead, perhaps your main disconnects have opened. The furnace is 12volts, is it not?
You will have to get some kind of charge on the house batteries if they are dead. Perhaps run your engine for a while to charge that battery, then depress the dashboard "battery" switch, maybe called auxiliary, or who knows what. The engine alternator will rapidy apply charge to the house batteries. During that period with the batteries paralleled, try to see if the furnace will run.
Don't use the auxiliary switch if your engine is not running because you may end up with dead engine battery.
Again, I would check that circuit breakers are not tripped. Your dc convertor circuit breaker could be a culprit.
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