TE-20 shutting down when hot

If not, check the "secret filter" in the fuel supply elbow at the carb. If that's clean, check the filter in the sediment bowl. If your still not getting adequate fuel, take the sediment bowl of the tank 'cuz there's a screen over the fuel inlet tubes. Hope this helps.

and

Fuel starvation. Take the air cleaner off so you have access to the carb air intake. Next time it does it quickly squirt some starting fluid in there and hit the starter (assuming it has already died, or,if it's still running, does it come back on?) If either is true, get yourself a vented cap for your fuel tank or see next paragraph.

How did you determine that you weren't boiling fuel in the fuel inlet line, or that your filter/strainer wasn't clogged?

txblu

Starting out, there was no one to help me and I couldn't afford a mechanic. It was a lonely feeling. Thanks for your comments.

The condencer IS adjacent to the points. It's only purpose is to keep the points from arcing every time they switch. You can run for a short period without it for troubleshooting purposes but any lengthy time will shorten your point life....pitting.

If you have a leaking fuel line, tank vacuum may not be your problem. You may have a clogged inlet filter. Just think about a cannister with 2 hoses on it, a small fill and a large outlet. The cannister holds a certain amount of fuel. When fuel is consumed, the small inlet attempts to refill it but it can't fast enough so when what's in the cannister and the little bit that dribbled in are used up, the engine starves. It stops and the meager refill process refills the cannister over 10 to 20 min and the cycle repeats.

txblu

Check your gap on the points also, maybe close them down just a bit to see if that solves the problem...if so of course you should reset th timing.