Rinse chicken halves in cold water and pat dry with paper towels. Place chicken in a large bowl or baking dish, coat with Italian dressing and evenly season with Neely's Barbecue Seasoning. For best results, allow the chicken to marinate in the refrigerator overnight.
If cooking inside: Take the chicken out of the refrigerator and brush chicken with Neely's Barbecue Sauce.
Place into a preheated 350 degree F oven for 45 minutes.
If grilling outside: Thirty minutes before you're ready to cook, take the chicken out of the refrigerator and allow it to come to room temperature. Preheat the grill to a medium temperature, about 275 degrees F preferably over hickory and charcoal.
Place the chicken halves on grill, meat side down. Cover grill and cook for about 50 minutes. Flip chicken over and let it brown until the chicken becomes golden, about 15 to 20 minutes. The wing and the drumstick should become very tender and will easily pull away at the joints. Brush the chicken with Neely's Barbecue Sauce during the last 5 minutes of cooking.
Mix all the ingredients together in a bowl, except the oil and salt and pepper. Slowly whisk in the oil and season with salt and pepper, to taste.
Add all ingredients to a bowl and stir until combined. Keep in an airtight container for up to 6 months.
In a large saucepan, combine all ingredients. Bring mixture to a boil, reduce heat to a simmer. Cook uncovered, stirring frequently, for 1 hour 15 minutes.