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
(
lb) to place (an area, or rarely a person) into one or more es or
parish can be .