I can throw out some fragments of his skill with parody, but not the whole song. Perhaps these will jog someone else's memory.

The San Francisco trolleys all sing this song N-Judah, N-Judah
Riding them all night long, N-Judah day.

Yolo, Yolo, Yolo Sonoma

The Shuls of Erin (not sure he wrote this one)

And there was one about Colcannon and Latke

Blessings
Barbara