Thanks Anjo,
Sorry not to reply sooner - I've been tied up with another branch of my tree (based in Sussex) and have found a Bateson relative (a third cousin, I think) with whom I have been exchanging information.
I've not had a chance to check what you have found against what I have yet - but anything you do find will be most gratefully received and will be chucked into the "melting pot". Presumambly all the Batesons in that area are related somewhere along the line (and the Shinns/Shins likewise).
I have a distant relative, by marriage, in the Sussex bunch who has Lincolnshire Batesons in her family - so perhaps these are related to the Norfolk ones too.
Best wishes
Deborah