No, the home in the photo is the parish rectory. The family that owned the house in the early 1900s donated the home and the land upon which Our Lady of the Rosary was built. Holy Rosary is a beautiful church and widely sought for weddings. The cottage to the left of the rectory (if you are facing the rectory) was a private residence at least up until a few years ago. The cottage across the school yard from the rectory was acquired by the parish five years ago from the Christian Brothers order which had previously had a school there; it is used for meetings, etc.
BTW, I love your photos, especially the ones of City Park.