child prodigy vs wonder child

child prodigy and wonder child both are nouns.

Word	Noun	Adjective	Verb	Adverb
child prodigy	Yes	No	No	No
wonder child	Yes	No	No	No

As nouns, child prodigy and wonder child are synonyms defined as:

child prodigy and wonder child: a prodigy whose talents are recognized at an early age

Other synonyms of child prodigy include infant prodigy.

child prodigy (noun)	wonder child (noun)
a prodigy whose talents are recognized at an early age	a prodigy whose talents are recognized at an early age