1969 Dodge Dart Engine Stutter

Thanks for all of the help! I am slowly working my way through this. So I charged the battery on a tender over night. I hooked the battery up and turned the key. The car started immediately. I disconnected the negative and the car died instantly. So, that narrows it down to the charging system correct? Not to say that there couldn't be parallel problems. But I can now conclude the charging system has issues?