"A monkey stood in the middle, and the crocodile under the bridge was flooded." Are these two sentences in nursery rhymes?

Monkeys play on swings.

Five monkeys are on the swing, laughing at the crocodile being flooded. The crocodile is coming, the crocodile is coming, Ame, Eminem.

Four monkeys are swinging, laughing at the crocodile being flooded, the crocodile coming, the crocodile coming, Amro, Amro.

Three monkeys were on the swing, laughing at the crocodile being flooded. The crocodile is coming, the crocodile is coming, Ame, Eminem.

Two monkeys are swinging, laughing at the crocodile being flooded, the crocodile coming, the crocodile coming, Amro, Amro.

A monkey was swinging on the swing, laughing at the crocodile being flooded. The crocodile is coming, the crocodile is coming, ah, ah.

So many monkeys are swinging, laughing at the crocodile being flooded, the crocodile coming, the crocodile coming, Eminem, Eminem.