Eschenbach was formerly part of the German Empire. In the German Empire, the place was called Jasenka.
The place is now called Horní Jasenka and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Jassenka | Austro-Hungary | Wsetin | before the Treaty of Saint-Germain |
| Jasenka | Austro-Hungary | Wsetin | before the Treaty of Saint-Germain |
| Eschenbach | Czechoslovakia | Vsetín | after the Treaty of Saint-Germain |
| Jasenka | Czechoslovakia | Vsetín | after the Treaty of Saint-Germain |
| Eschenbach | German Empire | Wsetin | 1939 |
| Jasenka | German Empire | Wsetin | 1939 |
| Jasenka | Czechoslovakia | Vsetín | 1945 |
| Horní Jasenka | Czechoslovakia | Severní Morava | 1992 |