Yeah, Mr. Joule is having a joke on us. This is why the "upper" part of the winding is getting hotter.
Now, first thing first, you seem to be a beginner. No problem, but play safely. You have no isolation with auto-transformers, and transformers do not care what is the neutral, nor the hot wire. So, you may transfer the hot wire directly to the output.
1. Measure with a caliper (like this one :
https://en.wikipedia.org/wiki/Calipers] [url]https://en.wikipedia.org/wiki/Calipers[/url]) the diameter of the enameled copper wire.
2. Look here on the maximum ampacity of the wire
https://www.farnell.com/datasheets/1942907.pdf (I took the first Google link for "enameled copper wire ampacity").
Now, you have a first idea of the rating of the winding. Going above the maximum ampacity will translate in high Joule loss = heat, and slowly in winding burn-out.
Well, even if the good wire is used, you may not have enough iron core, so it goes hotter again.
Note: some newer or cheap transformer are made to run hot, they are economically built (less turns). So, it is normal to get hot. But not safe, if not properly monitored.