If you look at the OSM histories of the parts from west (Polanenweg) to east, you first see the section to Bovenkerkweg which was and is tagged Nassauweg. The changed next section to Oude Molenweg was named Van Clootwijkweg. Next was the section to the admin border, again called Nassauweg. East of the admin boundary was and is Clootwijk. It is silly to assume that the middle part is called Cloot, in between two parts Nassau.

The PDOC BRT tagging confirms it. And the BGT Omtrekgericht reconfirms.

Do you agree?
