Name patterns only support a theory when backed up by other evidence. That Eastern New England place names have a high number of names in common with East Anglia, or the Shenandoah Valley with Northern Ireland, is significant only when we weigh other evidence, such as ship's logs, folk practices, family Bibles, etc., that indicate that the early settlers of New England mostly came from East Anglia and that a large number of the settlers of the Shenandoah Valley came from Northern Ireland.
Everything that we are came from somewhere, huh? Dan's name is really getting around. Someone brought all those 'Dan's' with them from somewhere, huh?