Wikipedia
The consistory court is a type of ecclesiastical court, especially within the Church of England. They were established by a charter of King William I of England, and still exist today, although since about the middle of the 19th century consistory courts have lost much of their subject-matter jurisdiction. Each diocese in the Church of England has a consistory court (called in the Diocese of Canterbury the Commissary Court).
Usage examples of "consistory court".
There were a great many bundles of papers on it, some endorsed as Allegations, and some (to my surprise) as Libels, and some as being in the Consistory Court, and some in the Arches Court, and some in the Prerogative Court, and some in the Admiralty Court, and some in the Delegates' Court.
It was a Summoner's dreadful duty to investigate rumours of sinners who'd broken diocesan law, and to summon those he judged guilty to the Archbishop's consistory court to be fined.