Creating a Peach Cake with Brown Sugar Frosting is relatively simple if you follow these straightforward steps:

1. Preheat the Oven: Preheat your oven to 350°F (175°C). Grease and flour two 9-inch round cake pans.
2. Mix Dry Ingredients: In a medium bowl, whisk together the flour, baking powder, baking soda, and salt. Set aside.
3. Cream Butter and Sugar: In a large mixing bowl, beat the softened butter and granulated sugar together until light and fluffy.
4. Add Eggs and Vanilla: Add the eggs one at a time, mixing well after each addition. Stir in the vanilla extract.
5. Combine Wet and Dry: Gradually mix in the dry ingredients and buttermilk, alternating between the two, until just combined.
6. Fold in Peaches: Carefully fold in the diced peaches until evenly distributed throughout the batter.
7. Divide Batter: Pour the batter evenly into the prepared cake pans.
8. Bake: Place in the preheated oven and bake for 30-35 minutes or until a toothpick inserted into the center comes out clean.
9. Cool Cakes: Once done, remove from the oven and let the cakes cool in the pans for about 20-25 minutes. Transfer to wire racks to cool completely.
10. Prepare the Frosting: In a medium bowl, beat the softened butter and brown sugar together until creamy. Gradually add powdered sugar, alternating with milk, mixing until smooth. Stir in vanilla extract for flavor.
11. Assemble Cake: Once cakes are completely cooled, place one layer on a serving platter. Spread a generous amount of brown sugar frosting over the top. Place the second layer on top and frost the top and sides of the cake as desired.