Combine the blackberries, sugar, and water in a small saucepan over medium high heat. Bring to a boil then reduce heat and simmer for 10 minutes. Remove from heat and strain into a glass jar.

Refrigerate the glass jar for at least 30 minutes.

When ready to make the cocktail combine a half cup of the blackberry syrup with the sparkling lemon water and vanilla vodka. Mix well.

Place a half cup of lemon sorbet in the bottom of four 8 ounce glasses. Pour a half cup of the blackberry lemon mixture over top of the sorbet. Top with fresh blackberries and a mint leaf. Enjoy immediately.