The 15-big name flag, launched in 1795, represented the admission of Vermont and Kentucky into the Union

https://wiki-legion.win/index.php/A_Historical_Perspective_on_the_34_Star_American_Flag_and_Its_Battles

The 15-star flag, launched in 1795, represented the admission of Vermont and Kentucky into the Union. It become used until 1818 when the layout changed by means of statehood.