Let's stick with what is in the Bible. There is such as thing as "the presbytery" and that simply means the elders (presbyters) over the local church. Not a "board" (which is a misnomer, since boards belong to business corporations).And are there church boards in the Bible?
Neglect not the gift that is in thee, which was given thee by prophecy, with the laying on of the hands of the presbytery. (1 Tim 4:14)
These were the shepherds (pastors) and overseers of the local churches responsible for the spiritual well-being of the flock. They were required to meet certain qualifications.
Each church was under a separate presbytery with a plurality of elders. There was no higher presbytery outside the local church (as is found today among Presbyterians and denominations).
There was no such thing as a single pastor or single bishop (presbyter) in the New Testament, since this was a major spiritual responsibility which needed several men (no women) with various spiritual gifts.
Alongside the elders were the deacons (servants of the church). Again a plurality and again only men (no deaconesses). Again, they were required to meet certain qualifications. Their responsibility was the material and physical well-being of the flock. They were accountable to the apostles (at that time) and the elders.
Chances are you will not find the New Testament pattern in most evangelical and fundamental churches, let alone the mainline denominations with clerical hierarchies.