wonder child vs prodigy

wonder child and prodigy both are nouns.

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

As nouns, prodigy is a hypernym of wonder child; that is, prodigy is a word with a broader meaning than wonder child:

wonder child: a prodigy whose talents are recognized at an early age
prodigy: an unusually gifted or intelligent (young) person; someone whose talents excite wonder and admiration

Other hypernyms of wonder child include child, fry, kid, minor, nestling, nipper, shaver, small fry, tiddler, tike, tyke, youngster.

wonder child (noun)	prodigy (noun)
a prodigy whose talents are recognized at an early age	an impressive or wonderful example of a particular quality
	a sign of something about to happen
	an unusually gifted or intelligent (young) person; someone whose talents excite wonder and admiration