In a medium size bowl, mix 2 tablespoons of OLD BAY with tomato sauce, vinegar and molasses, or sugar until combined. Set aside. Pat chicken dry and brush with oil. Rub with remaining teaspoon of OLD BAY.
Prepare your grill for indirect cooking. Create a zone of direct heat on one side of the BBQ on medium-low heat (135-150°C) and a second zone of indirect heat (burners turned off on this side of the BBQ). If using a gas grill, begin preheating at least 15 minutes before grilling. If using charcoal, light the charcoal at least 30 minutes prior to grilling.
Place the seasoned chicken on the indirect side of the BBQ (skin side up), as close to the fire as possible without being over the direct heat. Close BBQ and cook chicken for 35-40 minutes, or until a cooking thermometer inserted in the thickest part of the chicken (without hitting the bone) registers a temperature of 75°C.
Move chicken to lit side of BBQ and brush with OLD BAY BBQ sauce. Turn lit side of BBQ to high and grill uncovered for 3-5 minutes longer, or until chicken is charred. Turn only once and brush with additional sauce.
Recipe Tip
Note: To maintain medium-low heat (135-150°C), keep BBQ lid closed and adjust lit burner as necessary. Directions were developed using a gas grill. Grills vary; cooking time is approximate.