schooling vs grooming

schooling and grooming both are nouns.

Word	Noun	Adjective	Verb	Adverb
schooling	Yes	No	No	No
grooming	Yes	No	No	No

As nouns, grooming is a hypernym of schooling; that is, grooming is a word with a broader meaning than schooling:

schooling: the training of an animal (especially the training of a horse for dressage)
grooming: activity leading to skilled behavior

Other hypernyms of schooling include preparation, training.

schooling (noun)	grooming (noun)
the act of teaching at school	the activity of getting dressed; putting on clothes
the training of an animal (especially the training of a horse for dressage)	activity leading to skilled behavior
the process of being formally educated at a school