Can I charge the house battery with a generator in an hour

Hi,

Another NO.

You might be able to use 16.5 volts to charge with the "right" equipment But even then the charge acceptance rate is limited by the chemical reaction. For example, at 85% state of charge the battery can accept only 15 amps--anything more than that merely causes the cells to gas (bubble) excessively.

I'll also say "NO" to a $200 solar charging system. There won't be much money left for the actual solar panel wattage after you purchase a charge controller, wiring, brackets, and other hardware items.