1) Establishment 2) Institution 3) Vicarship 1) Vicarship 
• (n.) Delegated office or power; vicarship; the office or oversight of a vicar. • (a.) Having delegated power, as a vicar; vicarious.
Geographical area or group of persons or activities, which the bishop of a diocese entrusts a vicar
Vi·ca'ri·ate adjective Having delegated power, as a vicar; vicarious. Barrow. 
[n] - the religious institution under the authority of a vicar
vicariate 1. The authority or office of a vicar. 2. The district under a vicar's jurisdiction.
vicarship noun the religious institution under the authority of a vicar