I have to agree with JT on this one. Sounds like a severe discharge condition led to the initial problem of not starting, but I'm more concerned that the alternator is on its way out. In my experience, once a car with a bad battery was started (by jumping, or push starting), it would run fine, but good luck trying to start it again once it was turned off. Testing the battery wouldn't be a bad idea, but I'd probably get the alternator tested first. You should throw the battery on a charger if the alternator does test bad before trying to start it again. The alternator could pop again if it's forced to charge a dead battery, since its purpose is maintaining the charge.