Klein Mochau was formerly part of the German Empire. In the German Empire, the place was called Vierhäuser.
The place is now called Muchówek and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Klein Mochau | German Empire | Jauer | 1939 |
| Vierhäuser | German Empire | Jauer | 1939 |
| Muchówek | Under Polish administration | Jawor | 1945 |
| Muchówek | Poland | Jelenia Góra | 1992 |