Maybe I was wrong about the Church of Scotland. Here's an extract from a biography of mathematician John Williamson; Biography
John Williamson was born in The Manse, Kinross, where his father was the Presbyterian minister.
The Church of Scotland is a Presbyterian denomination.
A Presbyterian kirk or church or sect or denomination is one which is organised by tiers of committees, not by a hierarchy of bishops. In the C of S every parish had a kirk session, which is a committee consisting of the minister and elders. The next tier was the presbytery, which is a committee consisting of the ministers and one elder from each parish in the area covered by the presbytery. Above this, the next tier was the Synod, and finally the General Assembly.
As far as I am aware, the term 'presbyterian' in Scotland did not indicate adherence to any particular set of religious dogma or beliefs, though it may have been different elsewhere.
The best source (in my opinion) for finding information about Scottish presbyterian ministers is
https://www.ecclegen.com/ which in spite of its sub-title also includes ministers of the Church of Scotland and some others as well as the ministers of the Free Church of Scotland.