Peach Cobbler with Fresh Peaches

Name: Peach Cobbler with Fresh Peaches
Prep time: 20 min
Cook time: 30 min
Total time: 50 min
Cuisine: American
Ingredients: 4 tablespoons (2 ounces) cold unsalted butter; 2 pounds of fresh peaches (about 4-6 ripe peaches); 1/2 cup granulated sugar (divided use); 2 teaspoons fresh lemon juice; 1/2 teaspoon ground cinnamon; 1/2 cup + 2 tablespoons all-purpose flour; 1 teaspoon baking powder; 1/2 cup half and half; 1/2 teaspoon vanilla extract