Preheat your oven to 375°F (190°C).

In a large bowl, combine peaches, ½ cup of granulated sugar, brown sugar, cinnamon, nutmeg, lemon juice, and vanilla extract. Let the mixture sit for 10 minutes.

In a separate bowl, whisk together flour, remaining ½ cup of granulated sugar, baking powder, and salt.

Cut in chilled butter until the mixture resembles coarse crumbs.

Gradually add milk, mixing until a dough forms, being careful not to overmix.

Spread the peach mixture in a baking dish, ensuring even distribution.

Drop dollops of the dough over the peaches without pressing it down completely.

Sprinkle with additional sugar and cinnamon on top.

Bake for 40 to 45 minutes until topping is golden brown and filling is bubbling.

Allow to cool for 10 minutes before serving.