From some distant memory long ago I seem to have heard Burl Ives singing the chorus as:

Bill Brewer, Jan Stewer, Peter Gantry, Peter Gurney, Dan'l Whiddon, Harry Hawke, etc.

— that is, adding Peter Gantry, and jettisoning Peter Davy.

Not that Ol' Fuzzy-Chin (as the late E. C. Ball used to call Ives) was in any way scholarly or definitive, only that the variation seems worth noting.

Bob