I asked about the song on a Jewish Music discussion list. Here's what I've learned so far.

"Don't know about the songs "ginger" and I don't know how related this is, but Shmuel Lehman and Pinkhes Graubard published many Yiddish songs collected from Polish Jewish prostitutes, pimps and criminals. One such song can be heard on the recently released "Treasures of Jewish Culture in Ukraine", recorded in 1929 (by Beregovsky and collegues). The singer, Sima Guralnic sings "di shtot Beynazeres" [Buenos Aires]. It is a rough field recording, barely intelligable, but she is a wonderful singer"