To make the Strawberry Puree: Place the frozen strawberries, sugar and water in a large enough saucepan. Simmer for 10 minutes until sugar is dissolved and fruit is softened.
Allow to cool and blend until smooth. If there are any seeds left, strain through a fine mesh strainer. If you prefer a more chilled puree, as I did, place in refrigerator or freezer for a few minutes.
To make the Frozen Strawberry Shortcake Martini: Place ice in blender, then the puree and the vodka. Blend until it's the consistency you want. Pour into glasses and garnish with a dollop of whipped cream and a sliced strawberry, if desired.