Preheat oven to 350°F (176°C)
Place 1/2 stick into an 8" round cake pan and place into the oven while it is heating up to melt the butter.
When the butter is melted, remove the pan from the oven and sprinkle in the brown sugar to coat the bottom of the pan.
Arrange the peach slices in a single layer over the sugar layer.
In a bowl, cream the granulated sugar and 1 stick of softened butter until fluffy.
Next, add the egg and vanilla extract then mix to combine.
Next, add the flour and mix to combine.
Then add the milk and mix to combine with the flour mixture.
Spoon the cake batter over the peaches evenly.
Bake for 45 to 50 minutes or until a toothpick inserted comes out clean.
Cool the cake for 10 minutes then invert on a cake platter.
Peach upside down cake can be served warm or room temperature.