You can hear HENRY'S MADE A LADY OUT OF LIZZIE sung by Billy Jones & Ernest Hare (The Happiness Boys) at The Internet Archive. They stick pretty close to the lyrics posted above that are sung by Irving Kaufman, but as usual, they have added some patter. It's a little cleverer than most of their patter:

PATTER: —Oh, Ernest, who's that comin' down the street?
—Oh, look her over! Ain't she sweet?
—That's not Lizzie is it? How she's changed!
—Yes, she's a lady now; she's outgrown her rattle.
—Not a rattle in a carload. I suppose she has more tin now than she ever had.
—Yes, you never see her in alleyways anymore. She now sports the boulevard.
—Introduce me, will you?
—Why certainly. Sir Walter Raleigh, meet Queen Elizabeth.
—Carbureted, I'm sure. Carbureted!
—Ha-ha-ha...!