It, the term "Scotch Professor",  is one that is much used and, as will be argued here, missused. It is like a paper-clip employed to keep together a random bunch of ideas, and some prejudices, that many are willing to talk about but no-one has really bothered to sort into a cogent sequence. But perhaps that is about to change. 

Professorship, at least at an institution that is not a technical college with delusions of granduer implies time, considerable time, spent studying, then understanding of, further thinking about a subject and then its presentation, its passing-on. Do it any other way or in another order and the there is glibness. 

And here the problems with our particular "profs" start right away, the questions being who, how, where, when and how many, starting with the last. It is axiomatic, a professorial way of saying 'self-evident', that no Scotch Professor, at least no verifiable "Soccer" Scotch Professor, could have existed before 1865, the year Association football of one form or another began to be seen in Scotland. There were Scots, home-bred and Diasporan, playing the game in England but they could be counted on 

 We know because we have attempted and largely succeeded in doing it, year-by-year.