Oh, yeah, that reminds me. Again, not “naughty”, but definitely gross
*Great big globs of greasy, grimy gopher guts!
Mutilated monkey feet,
Chopped up baby parakeet!
Great big globs of greasy, grimy gopher guts,
And I forgot my spoon!*
I also read all of **Larry… ** whatever-his-name-was books “Greatest Polish Jokes”, “Greatest Jewish Jokes”… etc, until I realized each book had the same jokes, just reworded to fit the ethnicity in question.
The mush was as tasty
As tasty could be
And then late last summer
It grew into a tree
The tree was all covered
With beautiful moss
And it grew lots of spaghetti
And tomato sauce
So when you eat spaghetti
All covered with cheese
Hold onto your meatballs
And don’t ever sneeze. 
A little dirt by innuendo, from the ‘50s:
*Casey and Murphy were digging in a ditch,
Casey called Murphy a dirty son-of-a . . .
Beaver, beaver, sitting on a rock,
Along came a bumble bee and stung him on his . . .
Cocktail, ginger ale, 5 cents a glass,
If you don’t like it shove it up your . . .
Ask me no questions and tell me no lies,
Casey hit Murphy and now he’s paralyzed.
*
The version I heard was:
Are you TT?
No. (you’re not toilet trained!)
Yes. (you’re triple titted!)
There was a version with ABC as well: “you’re an African bum cleaner!” vs. “you’re not a brilliant child!”.
It was “Inspector Muff” in the version I heard.
The version I learned ended “Look at these…Christmas trees!” At which point you would pull out the chest of your shirt in a double tent shape.
And one more for good luck:
Come listen to a story ‘bout a man named Jed
Had a lot of hair, but it wasn’t on his head
Then one day he was shootin’ at some food
When up from the ground came a redhead, nude
Bare ass…buck naked
Well, the next thing you know, ol’ Jed’s in bed
Screwing the shit out of ol’ redhead
Here come’s Granny with a hickory stick
Gonna beat the shit out of ol’ Jed’s dick.
I went to a party at the county jail
Ripped my balls on a rusty nail
When I got home I got a terrible shock
Only one ball and half a cock
There was a fight song that fits the category:
Ratshit! Batshit!
Dirty old twat;
Sixty nine douche bags
Tied up in a knot:
Eat Shit! Lick Clit!
Gonorrhea Goo,
We are the ___ ____
So Fuck You!
Oh, Bob, let’s not stop here.
Oh, Bob, let’s not stop.
Oh, Bob, let’s not.
Oh, Bob, let’s.
Oh, Bob!
Oh!
Hasten, Jason,
get the basin.
Whoops, slop,
Get the mop.
Blood and gore on the floor
and me without my spoon.
Daniel Boone was a man
He was a biiiiig man
But the bear was a-bigger
So he ran like a [African-American person]
Up a tree!
We always heard this one as a Gomer Pyle joke.
(said in Jim Neighbors’ Southern drawl)
“SuhhhhPrize! SuhhhhPrize! SuhhhhPrize! That ain’t my finger either!”
10, 20, 30, 40, 50 or more,
Someone let a gasser in the grocery store,
80 of em died tried to hold thier breath,
someone let another and killed the rest!
I remember something similar to the one where a phrase is repeated after every pause in a story. We always used “ketchup & liquor”.
I also remember one joke where a bunch of guys walk into a bar that’s been dead all night about an hour before. When each one was asked, they said they were lying on top of Blueberry Hill. A little later, a woman walked in. The bartender said “Don’t tell me you were lying on top of Blueberry Hill!”
The woman replied “No, I am Blueberry Hill!”
We of course thought these were hilarious.
When we cleaned my late grandfather’s attic (circa 1983), we found a school book that had belonged to one of my uncles during elementary school in the thirties. Inscribed, in his finest third grade cursive was this rhyme:
Mrs. Rickles bought some pickles
On a sunny day
Mrs. Martin came a fartin
And blowed them all away.
This was the same uncle who taught us kids the aforementioned Sam, Sam the Lavatory Man when we used to camp out.
What do the Enterprise and toilet paper have in common?
They both circle around Uranus, wiping out Klingons.
I think I first heard this in 4th grade 
I am highly amused that I read through the first part of this thread not realising it was a zombie, intending to post my favourite from childhood, only to find I had already done so five years ago.
A couple more:
*My old man’s a lavatory cleaner, he works all day in the pit,
And when he comes home in the evening, he always smells of
SHINY buttons and brasshooks, they’re only 3.80 a tin,
You can buy 'em or nick 'em from Woolworths, but I doubt if they got any in.
Some say he died of a fever, some say he died of a fit,
But I know what my old man died of, he died of the smell of…
Some say he left me a fortune, some say he left me a bit,
But I know what my old man left me, he left me a pile of…*
There were more verses which escape me at present.
Also: hold hand out in a strange position “What do you call this?”
“I don’t know”
“Wanker’s cramp! Do you get it?”
(Yes - “Ah - you wanker!”)
(No - “What - don’t you know what I mean?”)
From the movie The Hot Chick:
Boys are cheats and liars,
they’re such a big disgrace.
They will tell you anything to get to second…
baseball, baseball he thinks he’s gonna score.
If you let him go all the way then you are a…
horticulture studies flowers, geologist studies rocks.
The only thing a guy wants from you is a place to put his …
cockroaches, beetles, butterflies and bugs.
Nothing makes him happier than a giant pair of…
jugglers and acrobats, a dancing bear named Chuck.
All guys really want to do is…
forget it, no such luck.
And I keep recalling this joke, but can’t find anyone to tell it to:
Joe took his blind date to the carnival. “What would you like to do first, Kim?” asked Joe.
I want to get weighed," she said. They ambled over to the weight guesser. He guessed 120 pounds. She got on the scale; it read 117 and she won a prize.
Next, the couple went on the Ferris Wheel. When the ride was over, Joe again asked Kim what she would like to do. “I want to get weighed,” she said. Back to the weight guesser they went. Since they had been there before, he guessed her correct weight, and Joe lost his dollar.
The couple walked around the carnival and again he asked where to next. “I want to get weighed,” she responded. By this time, Joe figured she was really weird and took her home early, dropping her off with a handshake.
Her roommate, Laura, asked her about the blind date, “How’d it go?”
Kim responded, “Oh, Waura, it was wousy.”
This is a verson of “Casey Jones” we learned from other kids in the neighborhood:
Casey Jones was a son of a gun
Wrecked his engine on a forty-mile run
The engine busted and the boiler split
And Casey ran into a pile of leaves.
(This is the version we sang when our parents were present.) 
My Dad told me a verson of “The Bear Went over the Mountain” like this:
The bear went over the mountain
The bear went over the mountain
The bear went over the mountain
To see what he could see.
He stuck his head in a dark hole
Filled his belly with charcoal.
Sparks flew out his but hole
And set his tail on fire!
My older brother came up with this:
Mary had a little lamb and the doctor was surprised–
But when Old MacDonald had a farm the doctor nearly died!
(No apologies for reviving an old thread. :D)
“What are pencil erasers made of?”
“Rubber.”
“What are rain boots made of?”
“Rubber.”
“If you saw Dolly Parton in the shower, what would you do?”
Greasy, gummy gobs of gopher guts
mixed up monkey meats
funny birds dirty feets
french fried eyeballs laying in a pool of blood
I forgot my spoon!
It had a sing songy tune but not from any other song I recognize. This is circa 4th grade…
There are two that come to mind immediately, and I can’t remember the rest of the first one…
Mother Fucker Land
Walking through the forest
With my dick in my hand
came to a place
Known as Mother Fucker land
Walked through the forest
What did I see?
Some big mother fucker
Trying to piss on me.
That’s all I can remember…
Next one:
3-6-10
the goose drank gin
the monkey spit tobacco on the fucking hen
The hen clucked
and the monkey got fucked
and they all went to heaven on a cigarette truck!