1) Manse 2) Parsonage 3) Rectory 1) Parsonage 2) Rectory 3) Residence 
• (n.) The house or residence of a vicar. • (n.) The benefice of a vicar.
A vicarage is the house where a vicar lives. Medieval vicars sometimes lived in pele towers. Examples of such peles are at Corbridge, Elsdon and Ponteland, (Northumberland) - but these did not save the vicar of Rookhope, Weardale, (see the Reivers).
Vic'ar·age noun 1. The benefice of a vicar. 2. The house or residence of a vicar. 
The modern usage is that of a vicar's dwelling the strict meaning is that of vicarial benefice
vicarage 1. A vicar's residence. 2. A vicar's benefice. 3. A vicar's duties or office.