Combine in a saucepan, 2 cups fresh blackberries, 1/2 cup sugar, 1 tablespoon lemon juice, and 1 tablespoon cornstarch. Cook over medium heat until the mixture starts to bubble and thicken, about 5-7 minutes.
Remove from heat and set aside to cool slightly.
In a large mixing bowl, whisk together 2 cups all-purpose flour, 1 tablespoon baking powder, and 1/2 teaspoon salt.
Cut in 1/4 cup cold and cubed butter until the mixture resembles coarse crumbs.
Stir in 3/4 cup milk and 1 teaspoon vanilla extract until just combined.
Preheat the oven to 350°F (175°C).
Spread the blackberry filling evenly in a baking dish.
Drop spoonfuls of the dumpling dough over the blackberry filling, covering it as much as possible.
Bake in the preheated oven for 25-30 minutes, or until the dumplings are golden brown on top.
Serve warm, optionally with whipped cream or ice cream.