Šišaj was formerly part of the German Empire. In the German Empire, the place was called Sziesze.
The place is now called Šyša and belongs to Lithuania.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Schieß | German Empire | Heydekrug | before the Versailles Treaty |
| Sziesze | German Empire | Heydekrug | before the Versailles Treaty |
| Šyša | Lithuania | Šilutė | after the Versailles Treaty |
| Szieße | German Empire | Heydekrug | 1939 |
| Sziesze | German Empire | Heydekrug | 1939 |
| Šyšai | Soviet Union | Šilutė/Šilute | 1945 |
| Šišaj | Soviet Union | Šilutė/Šilute | 1945 |
| Šyša | Lithuania | Šilutė | 1992 |