I got this recipe from The Virtual Weber Bulletin Board. If you go to the site and check the thread for this recipe you can see how popular it is. All credit for this goes to Brian S off the TVWBB and he has given permission for the recipe to be shared.
I have reproduced the recipe word for word but when I do it I use cider vinegar and a bit (accuracy!) more sugar Also just use regular sea salt as I've never found kosher salt. It is meant for grilling rather than smoking.
If you like the chicken from the roadside chicken stands then you'll like this. I've been making this for about 15 years now and it's pretty darn good.
ROADSIDE CHICKEN
1 cup white vinegar
1/2 cup veg oil
1/4 cup worcestershire sauce
1 TBS Sea or Kosher salt
1 TBS white sugar
1 tsp garlic powder
1 tsp onion powder
1 tsp white pepper
1/2 tsp celery salt
Mix/shake till well dissolved. I put mine in a old worcestershire bottle with the shaker top. You can marrinate the chicken in the sauce for up to 2-8 hrs before cooking. If so discard marinade and make fresh for the cooking sauce. I apply the sauce every 5 min to both sides and turn every 5-10 min. Apply one final coating 5 min before removing from the grill. You can't put too much sauce on while grilling. It will build up a nice layer of flavors. I use the kettle but i think it would do well on the WSM (Larry used it) with no water pan and a high heat cook. I usally add one small piece of apple wood while grilling also. Hope you like it. Enjoy
EDIT: If you are going to marinate the chicken first, then leave the oil out for the marinade proccess. Make up a fresh batch for basting the chicken with the oil in the sauce.
I urge you all to give this a try it's always a winner.
This also works well with pork - shoulder steaks are worth a try.
Big Mick