Rich and Tender Shortcakes with Strawberries and Whipped Cream

Name: Rich and Tender Shortcakes with Strawberries and Whipped Cream
Ingredients: 3 pints fresh strawberries , hulled; 1 pint crushed with potato masher or fork, 2 pints quartered (see illustrations below); 6 tablespoons granulated sugar; 2 cups bleached all-purpose flour , plus more for work surface and biscuit cutter; 1/2 teaspoon table salt; 1 tablespoon baking powder; 3 tablespoons granulated sugar; 2 tablespoons granulated sugar for sprinkling; 1 stick unsalted butter (8 tablespoons), frozen; 1 egg , beaten; 1/2 cup plus 1 tablespoon half-and-half; 1 egg white , lightly beaten; 1 cup heavy cream , chilled (preferably pasteurized or pasteurized organic); 1 tablespoon granulated sugar; 1 teaspoon vanilla extract