OK, I figured I’d start this thread before anybody else got a chance…
… A few years ago my then tweenage daughter came home singing this… largely unchanged from when I myself learned it back in the 1960s (but with a different melody). I wonder how old it really is? I’m guessing WWII vintage at least.
I feel compelled to add…
The steamboat had a bell.
It was used in an episode of South Park a few years ago, in fact. It’s far from unknown.
Version three is the one I know.
Ya know, we have threads on this and Found A Peanut. I now have a severe case of earworm. Those who are responsible must suffer. Painfully. 
Hmmm… It was always “Miss Lucy”, not Lulu, around my area.
“Miss Susie” for me in Maryland in the mid-80’s.
Yeah, Lulu’s the one who had two boyfriends.
Miss Susie for me in the 80s North Carolina. Looks like example 2 in the link is the one I remember, except we stopped after the D-A-R-K part.
And my 8 year old niece has never heard of this. The horror. I tried teaching it to her but my brother didn’t appreciate it.
Miss Lucy for me in Maryland, same era (and a bit earlier). Montgomery County.
I learned it this way:
Miss Lucy had a steamboat.
The steamboat had a bell
Miss Lucy went to heaven and the steamboat went to
Hello operator
Please give me number 9
And if you disconnect me I will chop off your
behind the frigerator
There was a piece of glass
Miss Lucy slipped upon it and it went right up her
ask me no more questions
I’ll tell you no more lies
The boys are in the girls’ room
Pulling down their
Flies are in the country
The bees are in the park
The boys and girls are kissing in the
D-A-R-K, D-A-R-K, D-A-R-K
dark dark dark!
Central New Jersey, in the eighties.
So, bang away, my Lulu…
Miss Lucy matches Scribble, ca late 70s, Westchester, NY.
Miss Mary down here in Florida, early to mid 80s. And basically what Scribble said, except it ended with Miss Mary in the principal’s office kissing in the D A R K D A R K D A R K dark dark dark!
I used to know one where you almost said much dirtier things, but I can’t remember any of it now.
It was Miss Lucy at my camp.
Now I’m remembering all the stupid hand-games we used to play- “Miss Mary Sue”, anyone? And then there was “Soup, macaroni” and the one about the bullfrog and…
Well, here Miss Sally had a baby and named it Tiny Tim.
Very similar to Scribble’s:
Miss Lucy had a steamboat,
The steamboat had a bell.
Miss Lucy went to heaven and the steamboat went to
Hell-o operator,
Give me number 9.
If you disconnect me I will chop off your
Behind the ‘frigerator
Was a piece of glass.
Miss Lucy slipped upon it, and broke her little
As’ me no more questions,
Tell me no more lies.
The boys are in the boys’ room
Pulling down their
Flies are in the meadow,
The bees are in the park.
The boys and girls are kissing in the
D-A-R-K DARK!
Northern New Jersey, late 1970’s.
Lulu had a bicycle,
the bicycle had a bell…
…that’s the story of Lulu
and how she slipped and died!
Ohio late 70s.
Miss Lucy had a steamboat
The steamboat had a bell
Miss Lucy went to heaven and
The steamboat went to
Hello operator, give me number 9
And if you disconnect me I will kick you from
Behind the refrigerator, there laid a piece of glass
Miss Lucy slipped and fell on it and hurt her big fat
Ask me no more questions, I’ll tell you no more lies
This is what Miss Lucy said
Right before she died died died.
Alabama late 80’s.