Preheat the oven to 350°Fahrenheit. Spray two 9-inch cake pans with cooking spray and set aside.
Whisk together the flour, baking powder, and salt in a medium bowl. Set aside.
In a large bowl, cream the butter and sugar until light and fluffy. Add the eggs, one at a time,, beating well with each addition. Stir in the lemon zest and vanilla extract.
Add the flour mixture in three additions, alternating with the milk. Finally, stir in the lemon juice and mix until just combined.
Divide the batter evenly between the prepared pans. Bake for 25-30 minutes, or until a toothpick inserted into the center comes out clean. Allow the cakes to cool in the pans for 10 minutes before transferring to a wire rack to cool completely.
While the cakes are cooling, make the blackberry filling. In a saucepan, combine the blackberries, sugar, and cornstarch. Cook over medium heat, mashing the berries and stirring frequently, until the mixture has thickened. Allow to cool.
For the buttercream, beat the butter until smooth. Add the powdered sugar one cup at a time, beating well after each addition. Add the lemon juice, milk, vanilla extract and beat until fluffy.
To assemble the cake, place one cake layer on a serving plate. Spread the blackberry filling over the top. Place the second cake layer on top of the filling.
Frost the top and sides of the cake with the lemon buttercream frosting.
Optionally, garnish with fresh blackberries and lemon slices before serving. Then the cake is ready to slice, serve and enjoy!