1926, American English, possibly a variant of English dialectal fainaigue "to cheat or renege" (at cards), of unknown origin. Liberman says finagle is from figgle, phonetic variant of fiddle "fidget about," frequentative of fig. Related: Finagled; finagling.
A male homosexual; fag: The guy must be a real whacko. A fegelah, you figure?
[1960s+; fr Yiddish, ''little bird'']