Still wont stay running!

1) runs for about 5 minutes and quits; clogged fuel filters; not your stated problem
2) runs for about 15 minutes and quits; gunked up ignition switch; not your stated problem
3) runs for about 1 hour and quits; restarts the next morning; BAD ignition coil; not your stated problem
4) runs for about 1 minute and quits; BAD condenser; sound like your stated problem?

Replace both your points and condenser. Condensers are known to be bad outta the box and iff'n the're bad, then the points are gonnna be burnt and be bad too.

Replacing your ignition points and condenser is a 15 minute 2-bolt finaggle on your kitchen table. Just unclip yer 4-nipple cap and leave it dangle on the sparkie wires. Remove the 2-bolts. The distributor is driven by an off-set tang scheme and can't be installed incorrectly. Just start the 2 bolts and gently rotate the rotor until it drops into the camshaft slot (you'll know). Tighen the 2-bolts and vola', Simple eh?..... ...Dell, the self-appointed sparkie-meister

Will it start back up and run good for another minute after it has sat a few minutes?

For kicks.. bypass your ignition switch when it does this, if you find the fuel flow is ok.

Though it might be electrical.. I'll guess fuel delivery...

Soundguy