The building seems to be the same one, but it's the white wall that is the most identifiable courtesy of Streetview.
Saturday, August 13, 2016
Cracker: White Ghost - Robbie Coltrane (1996) - French International School, Price Road
The school at which the young female witness from the abortion clinic attends is called St Hilda's in the film, and unlike the previously mentioned site of the CAS and EMSD that was used for the police station, this location was in fact a real school. It's the French International School on Price Road above Happy Valley. It's just a brief glimpse but enough for an identification.