Looking for Faulkner Relations My Father was Robert Faulkner Born to Evelyn Faulkner IN Brighton Sussex 1931

I am desperately trying to find any Faulkner relations. I was the only child of Robert Faulkner, who was born in Brighton, Sussex, 25/06/1931. The only other information I have is that my father's mother was Evelyn Faulkner (as per his long birth certificate), with no father named. I have not managed to get any further with the family tree, as I do not know when Evelyn was born. I do however know that she was living at 60 New Dorset Street in Brighton when my father was born. Any further information or links would be most gratefully received.