I hold the information on the various Stanley families on a Kith & Kin database. As explained earlier I am happy to run searches for people, just drop me a line. I also use a programme called GenMap UK which enables us to see a geographic interpretation of this database, at least for the UK.
Currently this is the distribution on the database for the Stanley name (plus variants) for all time periods shown separated by historic county.
The darker shades indicate a larger population of Stanley families
Focusing in on the area to the south of Birmingham
and showing the data separated by registration district (1881) we see this:
Shows a large concentration around the Snowshill|Broadway|Campden area