Rosemary-Infused Honey Sidecars

In a medium pot, bring 2 2/3 cups water and 3 rosemary sprigs to a boil. Boil 1 minute and set aside to steep until water cools to room temperature, about 20 minutes. Discard rosemary sprigs and pour infused water into 2 ice-cube trays and freeze. Place sugar in a small, shallow dish. Using your finger, coat rims of eight 8-ounce tumblers with honey and immediately press the rims into sugar to coat. Set aside. In a pitcher, combine Cognac, lemon juice, and remaining honey. Add rosemary-infused ice cubes and stir vigorously until honey dissolves and liquid is well chilled. Pour through a strainer into prepared glasses; discard ice. Garnish each glass with a rosemary sprig and serve immediately.