Ha ha, I like grim children's rhymes and stories. Here are some I know:
Little Polly Flinders
Sat among the cinders
Warming her pretty little toes
Her mother came and caught her
And whipped her little daughter
For spoiling her nice new clothes.
Google this one, if you dare:
A is for Amy, who fell down the stairs...
As a child in the 80s, I had a record of "rhymes to remember": it seems I do remember many of them word for word! They were read out in very BBC-style posh voices, or middle class teenage voices, which made them all the funnier!
There was a man: he went mad!
He jumped into a paper bag. (Sound of paper bag)
The paper bag was too narrow.
He jumped into a wheelbarrow. (Sound of wheelbarrow)
The wheelbarrow took on fire.
He jumped into a cow byre. (Moooo!)
The cow byre was too nasty.
He jumped into an apple pasty. (Sound of apple)
The apple pasty was too sweet.
He jumped into Chester-Le-Street.
Chester-Le-Street was full of stones.
He fell down and broke his bones. (Sound of skittles falling over)
Ten little naughty boys went out to dine.
One choked his little self, and then there were nine.
Nine little naughty boys stayed up very late.
One overslept, and then there were eight.
Eight little naughty boys went down to Devon.
One said he'd stay there, and then there were seven.
Seven little naughty boys chopping up sticks.
One chopped himself in half, and then there were six.
Six little naughty boys playing with a hive.
A bee stung one, and then there were five.
Five little naughty boys going in to law.
One got in chancery, and then there were four.
Four little naughty boys went out to sea.
A red herring swallowed one, and then there were three.
Three little naughty boys went to the zoo.
A big bear hugged one, and then there were two.
Two little naughty boys sitting in the sun.
One got frizzled up, and then there was one.
One little naughty boy living all alone.
He got married, and then there none.