traditional county

noun3

1. •
   A county without direct administrative functions. e.g. Yorkshire, Perthshire, Dublin or Suffolk County, Massachusetts.
2. •
   (UK) any of the historic divisions of Great Britain no longer used for administrative purposes in favour of ceremonial counties and administrative counties
3. •
   (Ireland) any of the historical sub-national divisions used for the purposes of geographic demarcation, local government, and sport.