hatching vs birthing

hatching and birthing both are nouns.

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

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

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

hatching (noun)	birthing (noun)
shading consisting of multiple crossing lines	the process of giving birth
the production of young from an egg