The question you ask does not have an answer. The reason for this is because your question is a matter of opinion. A nursery rhyme that seems strange to you might make the most of sense to someone else.
a nursery rhyme
The nursery rhyme with the initials MPHAD is "Mary Had a Little Lamb."
One for Sorrow - nursery rhyme - was created in 1780.
The nursery rhyme with the initials IRIP is "It's Raining, It's Pouring."
The nursery rhyme with the initials "BSWTS" is "Baa, Baa, Black Sheep."
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In the nursery rhyme "Birds of a Feather," the birds will flock together.
The queen baked a pie for the king in the nursery rhyme "Sing a Song of Sixpence." The maid in the nursery rhyme serves the pie to the king.
Mary Had A Little Lamb
I've never thought of it as a nursery rhyme but more just a silly song for kids.
Humpty Dumpty is the character who sat among the cinders in the nursery rhyme.
It's not really a nursery rhyme, but a song, "Twinkle Twinkle Little Star".