Kingston Trio - Limeliters? She called me Wet Back

The Kingston Trio had a song titled "San Miguel" which was very successful.
One of the lines in the song was;
But I hear with my heart what she says with her eyes

The spoof included that line, but also the next line
She called me a Wet Back and threatened to send me away

We used to have a recording on tape from the radio (by my dad) of some sort of spoof of the song.

I suspect that it might have been the Limeliters, who were famous for that kind of thing, but I can not find a thing!

The radio show was some sort of comedy hour in the early 1960's in Southern California.