Blend 1 1/4 cups sugar, cornstarch, cherries, and almond extract in a medium saucepan. Cook over medium heat, stirring constantly, until mixture thickens and boils. Continue to boil and stir for 1 minute.
Pour fruit mixture into an ungreased 2-quart casserole. Place in oven while preparing dough.
Measure flour, 1 tablespoon sugar, baking powder, and salt into a mixing bowl. Add shortening and milk. Cut shortening in several times then stir until dough forms a ball. Drop dough in about 6 spoonfuls onto hot fruit.
Bake 25 to 30 minutes, or until topping is golden brown.