In a small saucepan, add sugar to 1 1/2 C water. Boil for minutes and let cool. Simmer cranberries in 2 C water until "popping" subsides, about 15 minutes. Pour the cranberries through a fine mesh strainer into a bowl, pressing on the cranberries to extract as much pulp as possible. When cool, add simple syrup and juice of 2 lemons. Freeze until slushy, about 30 minutes and stir in whipping cream. Fold in beaten egg whites. Freeze thoroughly. Remove and beat well with mixer or food processor. Refreeze in airtight container. Can also use Kitchen Aide ice cream maker. Pour all ingredients into frozen bowl and follow instructions for sherbet. .