Vintage oven-baked peach cobbler

Preheat the Oven: Turn the oven’s temperature up to 350°F (175°C).
Prepare the Peaches:
Place the sliced peaches, 1/2 cup water, and 1 cup sugar in a skillet (if using canned peaches, eliminate the water).
After bringing to a boil, simmer for ten minutes or so.
Take off the heat.
Prepare the Batter:
While the peaches are boiling, make the batter.
Mix the flour, baking powder, salt, and 1 cup sugar in a mixing dish. Blend well.
Carefully stir in the milk to prevent lumps, then stir in the melted butter and vanilla extract, if using. Blend until well combined.
Assemble the Cobbler: