We can't use 14 gauge wire on 15 amp circuits, everything is minimum of 12 gauge.
That's one I support. 14 gauge is too small in my opinion. This happened in my house, partly as a result of smaller wire. Load never tripped the 15A breaker. Measurements never got above 12A. The damaged plug was not in use, the heat came from the back as far as I can tell. I replaced the breaker as well to be on the safe side. A little extra copper costs less than a fire.
Looking at this again makes me want to swap all the 14 gauge circuits to 10A breakers, if I can find some..