Vertemine was formerly part of the German Empire. In the German Empire, the place was called Werthemine.
The place is now called Vertemine and belongs to Denmark.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Werthemine | German Empire | Sonderburg | before the Versailles Treaty |
| Vertemine | Denmark | Sønderborg | after the Versailles Treaty |
| Vertemine | Denmark | Sønderjylland | 1993 |