Begin by preheating your oven to 375 degrees Fahrenheit. In an 8 x 8-inch baking dish, combine the Bisquick mix, milk, nutmeg, and cinnamon. Stir the mixture until it is thoroughly blended, then add the melted butter and mix well.
In a separate medium-sized bowl, combine the sugar with the sliced peaches, stirring gently to ensure the peaches are evenly coated. Carefully spoon this peach mixture over the prepared cobbler crust in the baking dish.
Bake the cobbler in the preheated oven for approximately one hour, or until the crust achieves a lovely golden brown color. Once baked, serve the cobbler warm for the best experience. It pairs wonderfully with a scoop of vanilla ice cream, adding a delightful contrast to the flavors. Enjoy!