The version is the one in the DT as "MISTER FROG WENT A-COUTING" - see links at top of page.

He sat Miss Mousie on his knee,
Said "Hey, babe, will you marry me"

"If my Uncle Rat says no"
Kermit himself would have to go"

"Or if you're nixed by Cousin Toad"
I s'pose you'll have to hit the road"
[Instrumental break of "Hit the Road, Frog"] - SQUISH!
(and you thought YOU were being silly!)

...

The first guest in was a bumblebee
He cut the rug with a crook-backed flea

Sounds like fun, Fred!