- Ring around the rosies
- Pocketful of posies
- Ashes, ashes
- They all fall down
It is a possibility that the chant came about as a remembrance of the bubonic plague, but as a part of the actual history of the black death, the answer is no.
I'm officially tired of students including this information in their papers on the bubonic plague.
1From Discovery Channel, Busting Myths quiz on Flowers.