I don't know, I've tried googling it, but the only thing I've found out was that there's a district in Gdańsk called Nowe Szkoty (New Scots) ;) There's this book, however, "Wielka Imigracja. Szkoci w Krakowie i Małopolsce w XVI - pierwszej połowie XVII wieku" (The Great Immigration. Scots in Cracow and Lesser Poland in the 16th and the first half of 17th century) by Waldemar Kowalski:
ujk.edu.pl/wyd/poz/szkoci.htm
One can buy it here, I guess: ksiazkihistoryczne.pl/historia-polski-xvi-xviii-w-wielka-imigracja-szkoci-w-krakowie/p,362091
Or on allegro.pl.
There's also a general book in English - maybe there's something there too: cosmopolitanreview.com/scotland-and-poland-historical-encounters
(Btw, I had no idea that a Scot was a (four-term) mayor of Warsaw :) en.wikipedia.org/wiki/Alexander_Chalmers_%28mayor_of_Warsaw%29
It turns out the author of this book works at the university in my city :) - here's his contact info: kowalski@ujk.edu.pl
He was a visiting research professor in The Research Institute of Irish and Scottish Studies and the University of Aberdeen, so I guess he knows English - in case you would be interested enough to contact him about this.