When it dies, pull the gas cap quickly. If you get a big sucking noise, you've got a plugged vent line to the tank. I had a similar problem on a 47 Mercury about 45 years ago, and it turned out to be a big grasshopper wedged into the pickup line inside the fuel tank. The car would run about a mile, then stall and refuse to restsart for 30 minutes or so.
Jerry

"It is better to be silent and be thought a fool than to speak and eliminate all doubt!" - Abraham Lincoln
Cringe and wail in fear, Eloi- - - - -we Morlocks are on the hunt!
There is nothing noble in being superior to your fellow man; true nobility is being superior to your former self. - Ernest Hemingway
Love your enemies and drive 'em nuts!