Rybníček was formerly part of the German Empire. In the German Empire, the place was called Teichwasser.
The place is now abandoned and the area belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Teichwasser | Austro-Hungary | Trautenau | before the Treaty of Saint-Germain |
| Rybníček | Czechoslovakia | Trutnov | after the Treaty of Saint-Germain |
| Teichwasser | Czechoslovakia | Trutnov | after the Treaty of Saint-Germain |
| Teichwasser | German Empire | Trautenau | 1938 |
| Rybníček | Czechoslovakia | Trutnov | 1945 |
| - aufgelassen - | Czechoslovakia | Trutnov | 1992 |
| - aufgelassen - | Czech Republic | Trutnov | 1993 |