Thanks Phillip. However, more of my memory regarding the treatment of this song has kicked in just now. See, they weren't the actual songs but rather spoofs of the songs themselves. There was a box of scrolled parchment with the lyrics to "Thank God I'm a Country Dog" as sung by Rowlf and instead of "Michael Row the Boat A-shore", the song's title was "Michael, Like Row the Boat Fer Sure".
Hope this helps. BTW: That was a great book, still have it in my library, a great many articles from the Muppet Magazine era.