So I just stumbled upon this beautiful word, Eleusinian(https://en.wikipedia.org/wiki/Eleusinian_Mysteries), named after a Greek town. Given they had a history of cool initian rites, and all the jazz of ancient cults, I'm wondering if Elusive and Eleusinian have any connection? Wiktionary suggests no, can anybody verify? Supposedly "elusive" is derrived from "elude". Does this word have a greco-roman origin? https://en.wiktionary.org/wiki/elusive
First off, let me say I'm not sure why your question has so many close-votes: it is directly about the etymology of a word, and so is definitely within scope.
elusive comes more-or-less directly from Latin. Latin has the word
ēlūdō which apparently can mean "avoided". This word is made up of
ex- (out of) and
lūdō (a trick). This is evidence against any direct descendance from Greek, because these elements in turn come directly from Proto-Indoeuropean.
I couldn't find any etymology for Eleusis though. But the most likely explanation is a coincidence.