hatching vs birth

hatching and birth both are nouns.

Word	Noun	Adjective	Verb	Adverb
hatching	Yes	No	No	No
birth	Yes	No	Yes	No

As nouns, birth is a hypernym of hatching; that is, birth is a word with a broader meaning than hatching:

Other hypernyms of hatching include birthing, giving birth, parturition.

hatching (noun)	birth (noun)
shading consisting of multiple crossing lines	the event of being born
the production of young from an egg	a baby born; an offspring
	the process of giving birth
	the kinship relation of an offspring to the parents
	the time when something begins (especially life)

hatching (verb)	birth (verb)
	cause to be born