Stir together ketchup and next 6 ingredients in a 1-qt. saucepan over medium-high heat. Bring to a boil; reduce heat to low, and simmer, stirring occasionally, 10 minutes.
Place drumsticks in an 11- x 7-inch baking dish.
Pour 1 cup ketchup mixture evenly over drumsticks.
Bake, covered, at 350 for 1 hour; uncover, top with remaining 1 cup sauce, and bake 30 more minutes or until fork tender.
Note: To make ketchup sauce ahead, prepare as directed in Step Cool sauce, pour into a 1-qt. airtight container, and chill for up to 2 days.
