Creating a mouthwatering Peach Cake with Brown Sugar Frosting is straightforward when you follow these steps:

1. Preheat Oven: Preheat your oven to 350°F (175°C). Grease and flour two 9-inch round cake pans.

2. Mix Dry Ingredients: In a large bowl, sift together the flour, baking powder, and salt. Set aside.

3. Cream Butter and Sugar: In a separate bowl, beat together the softened butter and granulated sugar until light and fluffy.

4. Add Eggs and Milk: Blend in the eggs and vanilla extract. Gradually mix in the milk until combined.

5. Combine Mixtures: Slowly add the dry ingredients to the wet ingredients, stirring until smooth and no lumps remain.

6. Fold in Peaches: Gently fold in the chopped peaches, distributing them evenly 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. A toothpick inserted into the center should come out clean.

9. Cool Cakes: Remove from the oven and let the cakes cool in their pans for about 10 minutes. Gently transfer them to wire racks to cool completely.

10. Prepare Brown Sugar Frosting: In a medium saucepan, combine the brown sugar and heavy cream over medium heat. Stir until the mixture comes to a boil, then remove from heat. Let it cool slightly before mixing in the powdered sugar until smooth.

11. Frost the Cake: Once the cakes are completely cool, place one layer on a serving platter. Spread the frosting on top, then place the second layer on top and frost the top and sides.

12. Chill (Optional): For a firmer frosting, refrigerate the cake for about 30 minutes before serving.

These steps will guide you seamlessly through the baking process, allowing you to enjoy a delicious Peach Cake with Brown Sugar Frosting.