In the UK, Neddy or Ned are common diminutives for Edward, as are Ted & Teddy. They wouldn't be used as christening names, but when you have several members of the family with the same names then often the son/grandson is named after his father/grandfather but is known by another name, sometimes a middlename, sometimes a diminutive of their first name, sometimes a nickname. They may also be known under one name as a child, then another as an adult.