Family Search has an Edward Walker born to father Edward in 1650 in Street, Sussex, England. Other children of father Edward were Ann, 1648 and Thomas 1654.
More interesting possibly was a listing for a George Walker of Hugh Walker born/baptized in Alfriston, East Sussex. No year given, but Hugh Walker m. Mary West Jan. 11, 1635 in Alfriston and Alfriston is only 10 miles SE of Plumpton and the Lewes road connects them. Joan Majtenyi