residence vs vicarage

residence and vicarage both are nouns.

Word	Noun	Adjective	Verb	Adverb
residence	Yes	No	No	No
vicarage	Yes	No	No	No

As nouns, vicarage is a hyponym of residence; that is, vicarage is a word with a more specific, narrower meaning than residence:

residence: the official house or establishment of an important person (as a sovereign or president)
vicarage: an official residence provided by a church for its parson or vicar or rector

Other hyponyms of residence include court, deanery, manse, palace, parsonage, rectory, cloister, religious residence.

residence (noun)	vicarage (noun)
the act of dwelling in a place	an official residence provided by a church for its parson or vicar or rector
the official house or establishment of an important person (as a sovereign or president)
a large and imposing house
any address at which you dwell more than temporarily