East & West Beckham are in North Norfolk about 16 miles from where I live.
There are 16 BECKHAMS listed in the telephone directory Norwich & North Norfolk area
District Council is North Norfolk District Council: Holt Rd: Cromer: Norfolk NR27 9EN: England. from which you could possibly get Birth Marriage Death details.
Another possible contact is a Freelance journalist who lives in the Beckhams, name of Keith Skipper. I do not have his address but he writes a column in the Eastern Daily Press: Prospect House: Rouen Rd: Norwich: Norfolk: England.
Then there is of course David Beckham who plays football for Manchester United and is captain of England football team.