Perhaps it was the Conkin Youth Center. But perhaps not. The reason I express doubts is that I am unaware that the Conklin Center was ever a Catholic-run facility.
The Newman Boys School (SW corner of Essex and Polifly Road), was definately run by Catholics. Some or all of the large sprawling wood-frame complex may (or may not) have been used as an orphanage in latter years. Not sure when that was torn down? The land has had several uses, including the "Player's Club". It's now a Rite Aid with a condo under construction.
I don't have a firm answer, but I think this is noteworthy speculation.