wonder child vs child prodigy

wonder child and child prodigy both are nouns.

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

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

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

Other synonyms of wonder child include infant prodigy.

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