I performed it as a call-and-response while in college in the 1980s. We used a different last line:

There ain't gonna be no wedding (3x) my pretty little reckless boy

I didn't want to marry you anyhow (3x) even when the weather's allright!

There were a few other variations we learned: "iffen" for "if", "Reckon" for "I guess", "weddn'in," for "wedding"