Gaj was formerly part of the German Empire. In the German Empire, the place was called Franzenshain.
The place is now called Franciszkowo and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Gaj | Russian Empire | Rypin | 1914 |
| Franciszkowo | Russian Empire | Rypin | 1914 |
| Gaj | Poland | Rypin | after the Versailles Treaty |
| Franciszkowo | Poland | Rypin | after the Versailles Treaty |
| Franzenshain | German Empire | Rippin (Westpr.) | 1939 |
| Gaj | Poland | Golub-Dobrzyń | 1945 |
| Franciszkowo | Poland | Golub-Dobrzyń | 1945 |
| Gaj | Poland | Toruń | 1992 |
| Franciszkowo | Poland | Toruń | 1992 |