Preheat the Oven:
Preheat your oven to 350°F (175°C).
Melt the Butter:
Melt the butter in a 9×13-inch baking dish in the preheating oven. Keep an eye on it and remove it once fully melted.
Prepare the Batter:
In a mixing bowl, combine the self-rising flour, granulated sugar, milk, vanilla extract, and ground cinnamon. Stir just until everything is combined—do not over-mix.
Assemble the Cobbler:
Pour the prepared batter over the melted butter in the baking dish. Do not stir.
Sprinkle the brown sugar evenly over the top of the batter.
Add Hot Water:
Carefully pour the hot water over the top of the batter and brown sugar. Do not stir; the water will help create a syrupy layer under the cobbler as it bakes.
Bake:
Bake in the preheated oven for 30 to 35 minutes, or until the top is golden brown and the cobbler is bubbling around the edges.
Serve:
Let the cobbler cool for about 10 minutes before serving. Serve warm, ideally with a scoop of vanilla ice cream or a dollop of whipped cream.