Preheat the oven to 350.
Start by heating an oven safe skillet over medium heat and add the butter. After 2-3 minutes when the butter has become bubbly, stir gently with a wooden spoon until the butter begins to brown and smells nutty. Once the butter is browned, turn the heat off of the pan.
In a medium bowl, mix together the blackberries, 1/4 cup of sugar, the cornstarch and the juice and zest of a lemon. Set this bowl aside for now.
Next, make the batter. In a large bowl add flour, the remaining 1 cup of sugar, milk, cinnamon, vanilla, baking powder, and salt. Mix this together until no flour is visible.
To the skillet of brown butter, add half of the batter mixture. Then spoon over the berries. Lastly, pour on the remaining batter over the berries. This will make a crust on the bottom AND on the top of the cobbler.
Bake for 35-45 minutes until the cobbler is bubbly and brown.
Serve with whipped cream or vanilla ice cream for extra decadence!