In reply to woolsack:
I think the battery may be ok. With inside lights on the voltage drops from 12.4 to 12.3V, and when the heater 'clicks' it drops to 12.25. Then goes back to 12.5 when everything is off.
The thermostat also seems to be working and the heater tries to light (clicking) when I turn the thermostat up and down.
I don't fancy sticking matches near it.
Thanks everyone but I think it's off to the camper van garage.