travail vs birthing

travail and birthing both are nouns.

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

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

travail: concluding state of pregnancy; from the onset of contractions to the birth of a child
birthing: the process of giving birth

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

travail (noun)	birthing (noun)
use of physical or mental energy; hard work	the process of giving birth
concluding state of pregnancy; from the onset of contractions to the birth of a child

travail (verb)	birthing (verb)
work hard