Unterfang was formerly part of the German Empire. In the German Empire, the place was called Podkopná Lhota.
The place is now called Podkopná Lhota and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Lhotta Podkopna | Austro-Hungary | Holleschau | before the Treaty of Saint-Germain |
| Lhota Podkopná | Austro-Hungary | Holleschau | before the Treaty of Saint-Germain |
| Podkopná Lhota | Czechoslovakia | Holešov | after the Treaty of Saint-Germain |
| Unterfang | German Empire | Zlin | 1939 |
| Podkopná Lhota | German Empire | Zlin | 1939 |
| Podkopná Lhota | Czechoslovakia | Holešov | 1945 |
| Podkopná Lhota | Czechoslovakia | Jižní Morava | 1992 |