Vesterbæk was formerly part of the German Empire. In the German Empire, the place was called Westerbek.
The place is now called Vesterbæk and belongs to Denmark.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Westerbek | German Empire | Hadersleben | before the Versailles Treaty |
| Vesterbæk | Denmark | Tønder | after the Versailles Treaty |
| Vesterbæk | Denmark | Ribe | 1993 |