Gingerbread Pudding Cakes with Nutmeg Sauce

Ingredients for the Gingerbread Pudding Cakes: 6 tablespoons unsalted butter, room temperature, divided (plus extra for the ramekins) 2 tablespoons granulated sugar 1 1/2 teaspoons ground cinnamon, divided 1 1/4 cups all purpose flour 2 1/2 teaspoons ground ginger 1 1/2 teaspoons baking soda 1/2 teaspoon ground allspice 1/4 teaspoon salt 1/8 teaspoon fresh ground