1. In a large saucepan, combine cranberries, water, sugar and lemon juice. Bring to a boil over high heat, uncovered, stirring occasionally. Once the ingredients come to a boil, reduce heat to low, cover the pan with a lid and simmer for 20 minutes.
2. Let the pan sit uncovered for 5 minutes. Strain the cranberries through a fine-mesh strainer, pressing the cranberries into the strainer with a rubber spatula.
3. Allow the cranberry juice to cool for 10-15 minutes before stirring in the 1 3/4 cup vodka. Carefully pour the mixture into a plastic zip bag and place in a flat bottom container in the freezer overnight or at least 8 hours.
4. Scoop into your favorite glassware and serve with the classic fresh lime garnish.