I have recently started researching PUMMELLs in Norfolk. I live and work in Norwich, so I'm close to the research sources.
My mother's mother was Beatrice Pummell, born 1890 in Sparham, Norfolk. I have currently managed to get back as far as Beatrice's great-grandfather, Thomas, born around 1795 in Cawston, Norfolk.
I have not yet had time to link Thomas to any of the other Cawston Pummells that I have become aware of via websites, but I'm sure that's just a matter of finding time to study the Parish Registers.
I suspect that any connection with the Berkshire Pummells could go right back to France/Flanders, where they presumably came from.
My mother, Jean, is also actively collecting information (about all lines of our family). I am, at the moment, rather a novice at collecting and collating all the information (although I seem to be quite good at collecting lots of names, even if they don't yet link together!).