Kozia Góró was formerly part of the German Empire. In the German Empire, the place was called Duneiken (Kreis Goldap) *.
The place is now called Dunajek Mały and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Ziegenberg | German Empire | Goldap | 1938 |
| Duneiken (Kreis Goldap) * | German Empire | Goldap | 1939 |
| Kozia Góró | Under Polish administration | Gołdap | 1945 |
| Dunajek Mały | Poland | Suwałki | 1992 |