In a medium bowl, combine 1 3/4 cups of the flour, 1/2 cup of the sugar, the baking powder, and salt. Add the butter and combine. In a second bowl, whisk together the milk, egg, and vanilla. Gradually add the milk mixture to the flour mixture and stir until just combined; the batter will be lumpy. Toss the berries with the remaining flour in a bowl. Gently fold the berry mixture into the batter.