In a food processor or blender, puree the cherries until smooth. Strain the liquid with a mesh strainer.
In a small saucepan, combine the sugar and water. Bring to a boil over medium high heat, stirring to dissolve the sugar. Remove from heat and combine with the cherry juice and lime juice.
Chill mixture completely.
Put chilled cherry-lime mixture into a pitcher and top with club soda and ice. Serve with lime wedges.
Calories: 120kcal, Carbohydrates: 31g, Protein: 1g, Fat: 1g, Saturated Fat: 1g, Sodium: 2mg, Potassium: 126mg, Fiber: 1g, Sugar: 28g, Vitamin A: 40IU, Vitamin C: 9mg, Calcium: 9mg, Iron: 1mg