As regards the maths teacher. She would have been allowed to use corporal punishment as at least two other female teachers at the school did so. Both these teachers were either PE teachers or helped out in that department. One of these teachers slippered me along with a few other boys once.
The maths teacher obviously chose not to go down the slippering route but had the power to send miscreants to the headmistress, where there was a chance of a caning.
The maths teacher did not stay at the school for years and had left by about 1980. ( A mate and his girlfriend who were at the school at that time do not remember her. They also told me that corporal punishment ended at the school in the early 80s)