Baby was formerly part of the German Empire. In the German Empire, the place was called Babí.
The place is now called Babí and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Baby | Austro-Hungary | Nachod | before the Treaty of Saint-Germain |
| Babí | Austro-Hungary | Nachod | before the Treaty of Saint-Germain |
| Babí | Czechoslovakia | Náchod | after the Treaty of Saint-Germain |
| Babe | German Empire | Nachod | 1939 |
| Babí | German Empire | Nachod | 1939 |
| Babí | Czechoslovakia | Náchod | 1945 |
| Babí | Czechoslovakia | Východní Čechy | 1992 |