Preheat the oven to 350°F (175°C). In a mixing bowl, combine melted butter and brown sugar until smooth. Pour the mixture into the bottom of the cake pan.

Arrange the halved cherries on top of the brown sugar mixture in a single layer.

In a separate bowl, whisk together flour, baking powder, and salt.

In another bowl, cream together softened butter and granulated sugar until light and fluffy. Beat in the egg, milk, and vanilla extract.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

Pour the cake batter over the cherries in the pan, spreading it evenly.

Bake in the preheated oven for 30 minutes, or until a toothpick inserted into the center comes out clean.

Allow the cake to cool for 10 minutes, then invert onto a serving plate.