This older ignition using condensers, if they start to break down, the motor can start and run for a while, but when things warm up, the condensers, and or coils can begin to short out internally which may cause the motor to die. You can crank until you are blue in the face but it refuses to start. Let it set for an hour, which lets these components to cool down and it MAY then restart. Time to change condensers, however hang onto the old ones as long as possible as the newer manufactured ones have a reputation of not being made that good.
A condenser is simply a lot of aluminum foil wrapped between waxed paper as an insulator. If the paper starts to deteriorate, after running for a while, the metal will heat up then expand. IF this happens in a location where the insulation is bad the metal shorts out to the next wrap, nullifying or shorting out so no output is achieved. But IF this is the case, many times when the condenser cools down, the short goes away until it warms up again. Once it has done this process a few times, then the short becomes rather permanent and the condenser can become inoperative