According to some ancient historians (e.g. Herodotos, Dionysius of Halicarnassus) and poets (e.g. Virgil) there was some ethnic relation between the people of the East Coast of Asia Minor (where Troy was situated and where later Lydia evolved) and these of nowadays Italy (either Etruscans or Latins/Romans). I know that this hypothesis is very controversial, however, in the same time it appeared to me that the sound difference between Lydia vs Latium (Lazio) is very similar to this of Lithuania (Lietuva) vs Latvia.
My main question is whether there is some etymological relation between the above names? And in case this is just a coincidence, my secondary inquiry is - what are the etymologies of the names, if known?
PS What is the etymology of the similarly-sounding Slavic word for people, pronounced "люди" (lyudi) / "лугье" (lugye) / ludzie / lide in the different Slavic languages?