Horní Rychnov was formerly part of the German Empire. In the German Empire, the place was called Ober Reichenau.
The place is now abandoned and the area belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Ober-Reichenau | Austro-Hungary | Falkenau a. d. Eger | before the Treaty of Saint-Germain |
| Horní Rychnov | Austro-Hungary | Falkenau a. d. Eger | before the Treaty of Saint-Germain |
| Horní Rychnov | Czechoslovakia | Falknov nad Ohří | after the Treaty of Saint-Germain |
| Ober-Reichenau | Czechoslovakia | Falknov nad Ohří | after the Treaty of Saint-Germain |
| Ober Reichenau | German Empire | Falkenau a. d. Eger | 1938 |
| Horní Rychnov | Czechoslovakia | Sokolov nad Ohří | 1945 |
| - aufgelassen - | Czechoslovakia | Sokolov | 1992 |
| - aufgelassen - | Czech Republic | Sokolov | 1993 |