Vivienne,
according to my 1954 Bartholomew, Perry Hill is or was a very short road off the Hagley Road opposite Edenhall Road in Quinton. There is/was also a Perry Hill Road and a Perry Hill Crescent. I'd never heard of any of them (!), but not an area I'm all that familiar with.
That's a beautiful trade-card, by the way. They don't do 'em like that any more.
G