Leśniów Mały was formerly part of the German Empire. In the German Empire, the place was called Wenig Lessen.
The place is now called Leśniów Mały and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Wenig Lessen | German Empire | Grünberg i. Schles. | 1939 |
| Leśniów Mały | Under Polish administration | Zielona Góra | 1945 |
| Leśniów Mały | Poland | Zielona Góra | 1992 |