Hi, names are confusing!
The nearest town is Wicklow. If you look at the map Dunbur is the bit that sticks out into the sea just below Wicklow town. There are 3 Dunbur townlands: Dunbur Head, Dunbur Lower and Dunbur Upper. They are part of the Church of Ireland parish Kilpoole and Barony Arklow and County Wicklow. They are part of the Roman Catholic parish of Wicklow. in some of the documents they are written 'Dunbar', but that is an error,
best