A more thorough explanation:

A herenach is an archdeacon, which means a high-ranking member of the clergy in some Christian denominations.

• The herenach of the local church was responsible for overseeing the work of the priests and ensuring that the church ran smoothly.
• During the Middle Ages, many herenachs were also responsible for managing the lands and properties owned by the church.

These examples illustrate how a herenach is a religious leader who holds a position of authority within the church. They are responsible for overseeing the work of other clergy members and ensuring that the church operates effectively. In some cases, they may also have additional responsibilities related to managing the church's assets and properties.