Pat and Gina Neely and their family own and operate some of Tennessee's best - and devilishly delicious - barbecue restaurants. But when they are relaxing at home in Memphis, they love to create tasty dishes their whole family can enjoy. Now they're ready to share secrets from their famous restaurant dishes. Here is the recipe for their Barbecue Chicken. Courtesy of Food Network. This recipe is absolutely WONDERFUL! I made it for 4th of July and it went over BIG!!! When grilling make sure you keep your heat low, as the sugar can char while cooking. Make sure you use tongs so you don't puncture your meat while turning. Also, make sure you soak your wood in water for 1/2 hr. before putting in your smoker or grill so it won't burn. Preparation time does NOT include marinating time.