Per World Lingo (see related links), this rhyme was possibly written in reference to King Henry VIII and the problems he had with his six wives.
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.
Old king Cole was a merry old soul and a merry old soul was he He called for his pipe and he called for his bowl and he called for his fiddlers three.
The nursery rhyme "Old King Cole" is about a merry and indulgent king who lived in a palace with a lavish court. The rhyme describes the king's lifestyle of music, food, and fun, portraying a carefree and hedonistic character.
The nursery rhyme you are referring to is likely "The King of France." This rhyme tells the story of a violinist performing for the king and giving commands such as asking the king to leave the hall or to play the violin himself.
Old King Cole
The King's Horses and Men visited the Queen in the nursery rhyme "Humpty Dumpty."
In the nursery rhyme "Humpty Dumpty," all the king's horses and all the king's men couldn't put Humpty Dumpty back together again after he fell off a wall.
Humpty Dumpty mentions horses. "All the king's horses and all the king's men..."
Humpty Dumpty
Humpty Dumpty
The king, the queen and a maid
Old King Cole asked for the pipe and the bowl while listening to his 3 fiddlers.