Battery charging but won't start

[cheese99]

Eventually got into my car after having a flat battery, and the car is now charging. The alarm seems to be working ok and can start the car from the remote when armed. However, if I disarm the alarm and try and start the car with the starter button then I get absolutely nothing! The ignition lights don't even come on!

I have a Clifford Concept 600 so any advise welcome. Have I reset the alarm somehow?