I knew this one a little differently:
Miss Suzy had a steam boat, the steamboat had a bell DING DING!
Miss Suzy went to heaven, the steamboat went to…
Hell-o operator, please give me number nine, and if you disconnect me, I’ll chop off your…
Behind the fridgerator, there was a piece of glass! Miss Suzy sat upon it, and broke her little…
Ask me no more questions, tell me no more lies!
The boys are in the bathroom, zipping up their…
Flies are in the city, the bees are in the park! Miss Suzy and her boyfriend are kissing in the D-A-R-K D-A-R-K DARK DARK DARK !
The dark is like a movie, a movie’s like a show! A show is like a tv set? and that is all I know-know-know!

I know the other one about Miss Suzy too, where she goes ooh, aah. At least on version of it. It’s a little raunchy:

Miss Suzy was a baby, a baby, a baby, Miss Suzy was a baby,and this is what she said! “ooh, aah, ooh aah aah!” (pretend to suck your thumbs, once each word)
Miss Suzy was a schoolgirl, a schoolgirl, a schoolgirl! Miss Suzy was a schoolgirl, and this is what she said! “ooh, aah, ooh aah aah!” (flip your hair back over your shoulders once each word)
Miss Suzy was a teenager, a teenager, a teenager, Miss Suzy was a teenager, and this is what she said! “ooh, aah, I lost my bra! I left it in my boyfriend’s car!”
Miss Suzy was a teacher, a teacher, a teacher,
Miss Suzy was a teacher, and this is what she said! “ooh, aah, ooh aah aah!” (shake your finger once each word)
Miss Suzy was a mother, a mother, a mother,
Miss Suzy was a mother, and this is what she said! “ooh, aah, ooh aah aah!” (rock a pretend baby in your arms)
Miss Suzy was a grandmother, a grandmother, a grandmother, Miss Suzy was a grandmother, and this is what she said! “ooh, aah, ooh aah aah!” (rock in a pretend rocking chair)
Miss Suzy went to heaven, to heaven, to heaven, Miss Suzy went to heaven, and this is what she said! “ooh, aah, ooh aah aah!” (flap your “wings)
Miss Suzy went to he-ell, to he-ell, to he-ell, Miss Suzy went to he-ell, and this is what she said! “ooh, aah, ooh aah aah!” (pretend to be poked by a pitchfork at each word)