Combine strawberries, sugar, and water in a food processor or blender. Blend until smooth. Strain puree through a sieve to remove pulp bits and seeds. Set aside. Meanwhile, combine the lemon juice, sugar, and water in a large pitcher. Stir 2 cups of the strawberry puree into the lemonade. Reserve the remaining puree to place in glasses when ready to serve.

To Mix Cocktail. Place a Tablespoon of Strawberry puree into the bottom of a cocktail glass. Add one shot of vodka. Add ice and then fill the glass with strawberry lemonade. Serve with lemon wedges and slices of strawberry.