My cousins lived in Hague Lane and attended Park Council School 40's 50'
I think St.John's school was a little further away
It was a cobbled Lane and the houses were very run down. Theirs was a garret 8 back to back, living kitchen, bedroom and attic bedroom.
Shared outside toilets at the back of the houses.
One of the Rows at Parkhill Flats was named Hague Row.
Very interesting memories of Park Baths. Google -Park Baths (archive) Sheffield Forum.