1Place drip pan directly under grilling area, and arrange coals around edge of firebox. Heat coals or gas grill.
2Fold wings of chicken across back with tips touching. Tie or skewer drumsticks to tail. Mix butter, thyme, rosemary and marjoram. Brush half of the herb mixture over chicken. Insert barbecue meat thermometer in chicken so tip is in thickest part of inside thigh muscle and does not touch bone.
3Cover and grill chicken, breast side up, over drip pan and 4 inches from low heat 1 hour 45 minutes to 2 hours 15 minutes, turning every 20 minutes and brushing with herb mixture, until thermometer reads 180°F and juice of chicken is no longer pink when center of thigh is cut. Let stand about 15 minutes for easier carving. Discard any remaining herb mixture.