I remember when this happened. The young woman whose name is, in fact, "Amelia Earhart" and looks compellingly like her (though they aren't related) successfully completed the much older woman's flight which ended tragically in the 1930's. Not that this has anything to do with reincarnation, but things like this make me wonder ...
https://www.nbcnews.com/news/world/amelia-earhart-completes-around-the-world-flight-n154706