The churches acquired very considerable properties. We see that the kings gave them large treasuries, which is to say large fiefs, and we first find the administration of justice established in the domains of these churches. What could have been the origin of such an extraordinary privilege ? It was in the nature of the thing given : Church property had that privilege because it was not taken away. One gave a treasury to the Church, and left to it the prerogatives it would have had if it had been given to a leude ; it was also subject to the service which the state would have derived from it had it been granted to a layman, as we have already seen.
Thus the churches had the right to make people pay compositions in their territory, and to demand the fredum from them ; and as these rights necessarily entailed the right of preventing royal officers from entering the territory to demand these freda and exercise all acts of justice, the right which the ecclesiastics had of dispensing justice in their territory was called immunity, in the style of the formulas,  charters, and capitularies.
The law of the Ripuarians  prohibits the men freed  by the churches from holding the assembly  where justice is dispensed elsewhere than in the church where they were freed. The churches therefore had jurisdictions, even over free men, and were holding their plaids from the earliest times of the monarchy.
I find in the Lives of the Saints that Clovis gave to a holy personage authority over a territory of six leagues of land, and that he wanted him to be free from any jurisdiction whatever.  I believe this to be false, but it is a very old falsehood ; the essence of the life and the lies relate to the ways and laws of the time, and it is those ways  and those laws that I am searching for here.
Chlothar II commands the bishops and grandees who own lands in distant countries to choose on the site itself who should dispense justice or receive the emoluments. 
The same prince determines the jurisdiction between the church judges and his officers.  Charlemagne’s capitulary of the year 802 prescribes to bishops and abbés the qualities that their officers of justice must possess. Another  by the same prince forbids royal officers to exercise any jurisdiction over those who farm ecclesiastical lands, unless they have assumed this condition fraudulently and in order to evade public charges.  Another assigns to churches criminal and civil justice over all those who live in their territory.  Finally, the capitulary of Charles the Bald distinguishes between the jurisdictions of the king, the lords, and the churches  ; and I shall say no more about it.