Thanks folk1234. I have found it. It's on a 1962 live recording by the Chad Mitchell Trio - 'At the Bitter End' Kapp Records PK 6002. They recorded it under the title 'Hello Susan Brown' arranged and adapted by Milt Okun. The lyrics are similar to 'Ragin' Canal (Two in the Middle)' in the DT as pointed to by Dick.

Coffee grows on white oak tree etc

Two in the middle and I can't dance Josie
Two in the middle and I can't get around
Two in the middle and I can't dance Josie
Hello Susan Brown
Railroad, steamboat river and canal
I lost my true love on that ragin' canal
She's gone gone gone
And she's gone gone gone
She's gone for to stay on that ragin' canal

Four in the middle etc

Fiddle in the middle etc

Wheel around, turn around etc

Coffee grows on white oak tree etc

--Stewie.