What is Archdeacon's Court?

Legal Definition
In English ecclesiastical law. A court held before a judge appointed by the archdeacon, and called his official. Its jurisdiction comprises the granting of probates and administrations, and ecclesiastical causes in general, arising within the archdeaconry. It is the most inferior court in the whole ecclesiastical polity of England. 3 Bl. Comm. 64; 3 Steph. Comm. 430.
-- Black's Law Dictionary
Legal Definition
An English ecclesiastical court with jurisdiction in probate, administration and ecclesiastical matters within the archdeaconry. See 3 Bl. Comm. 64.
-- Ballentine's Law Dictionary