Ok, most of those small Ceramic heaters are dual wattage 750/1500
FOr ease of math divide by 10 volts. Power factor on these puppies approaches 1.0 (1.0 is by the way ideal) so we can forget power factor and just say 75 amps or 150 amps will be drawn off the batteries. Now the 255 amp hours you cited (What size battery is this or do you have multiple) is the 20 hour rate (or the wal_mart rate which is even worse) so at 150 amps.. I'd be surprised if the batteries lasted 5-10 minutes. at half power perhaps 10 minutes.. You need a LOT more battery and a LOT more solar to even think about it .
Not to mention more than one RVer had burned up his/her 120 volt wires using a space heater.