It had enough charge to start the engine fine. So it wasn't that low.
It's not gone off since, the tests all seemed to come back fine when I tested the alarm.
Do wonder if a spider perhaps set it off( there's some properly Impressive ones about at the moment) , movement of the wind deflector or even it was gently knocked by a neighbour (no sign of any scratches though).
Last time it went off for seemingly no reason I found out later, that on the next day there was a gang of thieves going around trying door handles at that exact time in another area of town. So I reckon they tried to get into my car that day. Really need CCTV...