parsonage

As a noun parsonage is

a house provided by the church for a parson, vicar or rector.

As nouns the difference between parsonage and personage

is that parsonage is a house provided by the church for a parson, vicar or rector while personage is a famous or important person.

As a noun parsonage is

a house provided by the church for a parson, vicar or rector.

As nouns the difference between parsonage and parish

is that parsonage is a house provided by the church for a parson, vicar or rector while parish is in the Anglican, Eastern Orthodox and Roman Catholic Church or certain civil government entities such as the state of Louisiana, an administrative part of a diocese that has its own church.

As a verb parish is

to place (an area, or rarely a person) into one or more parishes.