Taking each district/town in turn, Kings Norton is covered by what I said in my previous posting, Droitwich is not Birmingham, so cannot assist here, (Worcester Record Office may be able to help - they have a History Centre actually in Worcester and they are very helpful). Northfield may be Lodge Hill Cemetery, depending on date, but prior to its opening, the local church would more than likely be the place. Yardley has its own cemetery, but Bishampton is a name I seem to have heard, but know nothing about. Have you Googled Bishampton, to see what you get?
Shortie