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