I'm really interested in regional variations of these kind of chanting games, and my version (from South Florida) is kinda different from this one, especially the end.

Miss Suzy Had A SteamBoat
Miss Suzy had a steamboat,
the steamboat had a bell (ding! ding!),
Miss Suzy went to heaven and the steamboat went to -

Hello operator,
Please give me number nine,
and if you disconnect me I will chop off your -

Behind the refrigerator,
there was a piece of glass,
Miss Suzy sat upon it and she broke her little -

Ask me no more questions,
please tell me no more lies,
The boys are in the bathroom,
pulling down their -

Flies are in the meadow,
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 -

is like a movie,
a movie's like a show,
a show is like a TV show,
and that is all I know know know.

I've also heard a version from Pittsburgh that involves Miss Suzy "in the bathroom with 47 guys", and a different last verse. If anyone knows this, could you please post it?

The one I learned from my sister (and she learned from girl scout camp) is almost exactly like yours (with the minor changes of "zipping up their -" instead of "pulling down their -", and without the "Dark, Dark, Dark -" line) but with one more verse: your last line becomes "I know I know" and the final verse is

I know I know my Ma
I know I know my Pa
I know I know my sister
With the forty-acre bra!

It then transitions into a version of "Bedbugs and Roaches", which I'm calling "Beetles and Mosquitoes" for the purposes of documentation.