Add cranberries, sugar and water to a small saucepan over medium heat. Cook until all of the cranberries start to burst and the syrup has thickened, about 10 minutes. Remove from heat and press the mixture through a fine strainer to remove the cranberry pulp and seeds. Set aside or refrigerate to cool completely.
Cocktail
Rub a slice on lemon along the rim and part of one side of 2 low ball glasses. Dip the lemon rubbed sides into a dish of turbinado sugar. Set asideTo a cocktail shaker, add bourbon, lemon juice, apple cider, cranberry simple syrup and egg white. Add the ice and shake well. Strain and pour the cocktails then 2 low ball glasses with ice. Garnish with apple slices, fresh cranberries, cinnamon sticks and rosemary.