Vlad, Trumpinator is correct. Those pre-schism monasteries were thoroughly Orthodox. So were a number of them in England and Scotland. As I sit here in my office, I have in my icon corner icons of +Patrick, the Enlightener of Ireland, +Aidan of Lindisfarne and +Columba of Iona. Rome didn’t put all of England under its sway until the Council of Whitby and Scotland and Ireland long after that.
In any event, why is the non-”Roman Catholic” history of The Church so offensive to you? Not every particular church was Latin then and they aren’t now.
http://orthodoxengland.org.uk/hp.php