Mociškiai was formerly part of the German Empire. In the German Empire, the place was called Motzischken.
The place is now called Mociškiai and belongs to Lithuania.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Motzischken | German Empire | Ragnit | before the Versailles Treaty |
| Mociškiai | Lithuania | Pajėgiai | after the Versailles Treaty |
| Motzischken | German Empire | Tilsit-Ragnit | 1939 |
| Mociškiai | Soviet Union | Pagėgiai/Pagegjaj | 1945 |
| Mociškjaj | Soviet Union | Pagėgiai/Pagegjaj | 1945 |
| Mociškiai | Lithuania | Šilutė | 1992 |