I can’t clarify your story,but in Manchester,in the Angel Meadow/Collyhurst area, on Collyhurst Road,there was St Catherine’s Church and School.
It was an Orange Order Church,the church banner had William of Orange on it,not St.Catherine as you would imagine.
Not very far away was St Malachy’s and a little further on St .Patrick’s.
My maternal grandfather was band master of St.Catherine’s Band.
There was intense rivalry,and much bitterness,as the poor Irish fleeing the great famine would work for very low wages at a time when the local residents were withholding their labour in the hope they would improve wages and thus better living conditions.
My grandfather was attacked many times as he negotiated the streets on his way home from practice.
Whitsuntide walks of Witness were very sectarian.
But he could sympathise with the immigrants,as any reasonable person would do.
As for the schools encouraging violence ,I cannot say,but really the poor people of both groups were so poor not much encouragement would be needed.The pubs were very specific,The Shamrock and The Exile of Erin were frequented by the Irish residents.
Viktoria.
All gone by now , interesting times.