Combine one cup of water and 1 cup of sugar in a saucepan to a boil, stirring it until sugar dissolves, remove from heat and let it cool. Place strawberries in blender and process it until its smooth. Pour into medium bowl and stir in the cool temperature sugar syrup, the other 2 cups of water, and the cointreau. Pour mixture into a 7x11 inch baking dish. Cover and freeze for 8-10 hours or until its firm. Remove from freezer and let it stand for 7-10 minutes. Scrape entire mixture with a fork until fluffy.