Preheat oven to 350° F (175° C). Melt 2 tbsp of butter in a baking dish as the oven is preheating and then remove from oven.
Place peaches in the baking dish and toss with 1 tbsp sugar and 1 tsp cinnamon.
In a medium bowl, mix oats, flour, 3 tbsp sugar, 2 tsp cinnamon, baking powder, nutmeg, and salt.
In a small bowl, whisk 2 tbsp melted butter and vanilla. Pour into the dry mixture and stir thoroughly.**
Bake 20-25 minutes or until golden brown. For extra crispines, place under the broiler for 3-4 minutes. Serve warm with ice cream or whipped cream.
**The batter will be dry and crumbly to make the crisp. For a thicker batter more similar to a cobbler, add 1 tbsp of melted butter at a time until the batter reaches a consistency similar to a cookie dough batter.