Those two, and Basque, I've wondered a lot about. Hungarian, presumably deriving from the Huns, goes back to pre-historic Central Asia, possibly as far east as Mongolia or Siberia. Finish, I'm not as sure of the consensus provenance. And Basque? Who in the world knows? Possibly some kind of pre-Celtic holdout, I've seen it posited.
Hungarians have nothing to do with Huns. They're Magyars, which was a different population in Eastern Europe/the Uralic regiom. "Hungarian" itself does not come from "Hun", the etymology is different. In many countries, such as mine, it's easier to spot the difference since their name is either Ungur (notice the missing H) or Maghiar.
The origin of the population is unclear before they were in the Uralic region.
This laymans though is that it has come from the sami, as they seem oddly similar in sound. And i have noticed that along the siberian coastline there are peoples that have a culture with surface similarities to the sami.
