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