Bella Ciao

Twenty years before the start of WW2, a Yiddish ballad was recorded in New York by a musician called Mishka Ziganoff. You can listen to it here. If you know the Italian partisan anthem, Bella Ciao, you'll find parts of the ballad sound very familiar indeed. What isn't clear is how they found their way from the ghettoes of the New World to the anti-fascist movement in Italy. Any ideas?