Rinse the strawberries thoroughly and cut them into chunks. Depending on their size, you may need more or fewer. We used about 4 strawberries per glass.
Add the diced strawberries to a cocktail shaker and muddle them into a fine purée. Alternatively, you can use a blender for a smoother consistency.
In the shaker, add a few ice cubes, then pour in the lime juice, Hennessy, and triple sec along with the strawberry purée.
Seal the shaker and shake vigorously for about 1 minute or until well chilled.
Add crushed ice to a tall glass, filling it about 3/4 of the way. Then, strain the cocktail over the ice.
Optional: Place a cocktail pick with a lime wheel and a strawberry on the rim of the glass for a decorative touch.
Top with club soda, mix, and enjoy!