Combine all of the sauce ingredients in a stockpot or large Dutch oven. Bring to a boil over high heat, stirring frequently to prevent sticking. Reduce temperature to low and simmer, uncovered, for at least 30 minutes. Meanwhile, trim the spare ribs, removing the upper brisket bone and any excess fat; this will produce a St. Louis-style rib. Rinse the ribs and season with Neely's Seasoning, and then cover and refrigerate for 4 to 12 hours.
Indirect cooking in a barbecue pit is recommended to prevent burning. Cook at 250 degrees F (curled side of ribs facing up) for the first 3 hours, and then increase the temperature to 300 degrees F for the final 3 hours. Baste the ribs only during the last 30 minutes of cooking to prevent sauce from burning.