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Longman Dictionary of Contemporary English
nursery rhyme
noun
EXAMPLES FROM CORPUS
▪ He was, incidentally, the only applicant who hadn't named the drink St Clements, from the nursery rhyme.
▪ More than 40 children aged between three and five turned up as their favourite nursery rhyme or story book characters.
▪ Nursery rhymes A good nursery rhyme idea is Humpty Dumpty.
▪ The first team chooses a nursery rhyme and they all sing it together.
▪ This is a good idea for a nursery rhyme party where the eggs can represent Humpty Dumpty.
Wiktionary
nursery rhyme

n. A short poem or song for children, mostly anonymous or handed down by folklore

WordNet
nursery rhyme

n. a tale in rhymed verse for children

Wikipedia
Nursery rhyme

A nursery rhyme is a traditional poem or song for children in Britain and many other countries, but usage only dates from the late 18th/early 19th century. In North America the term Mother Goose Rhymes, introduced in the mid-18th century, is still often used.

Nursery Rhyme (visual novel)

is a Japanese adult visual novel developed by Lump of Sugar and released on November 25, 2005 for Windows PCs. The story follows the life of Shizuma Hasekura, who visits his childhood friend Makina Tomoe and her twin sister, Yukina Tomoe. Nursery Rhyme is set in future, and takes place in the same world of Tayutama: Kiss on my Deity.

The gameplay in Nursery Rhyme follows a branching plot line which offers pre-determined scenarios with courses of interaction, and focuses on the appeal of the five female main characters by the player character. The game ranked at No. 2 in the national top 50 for best-selling PC games sold in Japan. Nursery Rhyme has made transitions into other media, such as a light novel and audio dramas.