Parsonage is a somewhat old-fashioned term for the housing a church provides to its clergy. The priest of a church in the English countryside might live in a nearby parsonage.
Parsonage literally means "house for a parson," and a parson is the member of the clergy, mainly in the British Anglican church, although Lutherans often use this terminology too. Other names for a parsonage include rectory, clergy house, or vicarage. One of the perks of being a priest in a small, rural church would be getting to live in a charming parsonage.