Philadelphia Butter Cake Recipe

Name: Philadelphia Butter Cake Recipe
Ingredients: 1/4 cup (about 2 ounces) granulated sugar; 1/4 cup (4 tablespoons) salted butter; 1/4 teaspoon salt; 1 large egg; 1 (1/4 ounce) packet active dry yeast; 1/2 cup warm milk (105-115°F); 2 1/4 cups (about 12 ounces) flour, sifted; 2 teaspoons vanilla extract (clear or regular); 1 cup (16 tablespoons, or 2 sticks) unsalted butter; 2/3 cup (about 3 ounces) flour; 2 cups (about 16 ounces) superfine sugar; 2 large eggs; 4 tablespoons milk; 1 teaspoon vanilla extract (clear or regular)