Stir in the tomato sauce, brown sugar, lemon juice, Worcestershire sauce, chili powder, mustard and salt. Bring to a boil. Reduce heat; simmer, uncovered, for 15-20 minutes or until sauce is thickened, stirring occasionally.
Brown ground beef in a skillet, adding onions half way through. Add minced garlic when meat is nearly done. Add remaining ingredients; stir well to combine. Simmer over low heat 15 minutes. Serve over hot dogs, Coney Island style! Brown ground beef in a skillet, adding onions half way through.
Add onion, chili powder, salt, garlic powder, allspice, ground mustard, black pepper, cumin, cinnamon, cayenne pepper, tomato paste, and water. Stir to mix thoroughly. Bring to a boil over high heat.
Cook and stir beef in the hot skillet until browned and crumbly, 5 to 7 minutes; drain and discard grease. Add water, tomato paste, pickle relish, onion, Worcestershire sauce, mustard, chili powder, salt, and sugar; bring to a boil. Reduce heat to medium-low and simmer, stirring occasionally, until sauce is thickened, about 30 minutes.