To make the rosemary infused simple syrup, add the water and honey to a small pan. Bring to a boil, stirring in the honey to mix with the water.
Once the water reaches a boil, turn it down to simmer at a low boil and add the rosemary sprigs. Boil at a low boil for 10-15 minutes. Remove from heat and let the rosemary steep for 30 minutes.
Remove rosemary sprigs and pour the simple syrup over a mesh strainer into a jar or container. Refrigerate until ready to use and shake prior to use.
To make your cocktail, fill a 12 or 16 oz cup with ice. Add in 2 oz of vodka and 1-2 tbsp of the infused simple syrup. Start with a little syrup and taste and add more as needed to reach desired taste. Top with soda water, squeeze a lime wedge in and stir. Serve with an additional sprig of rosemary and lemon wedge for garnish. Enjoy!
Notes
NOTE: The recipe will make enough infused simple syrup for 6-8 cocktails. However, the cocktail ingredient amounts in the recipe for the cocktail are for one cocktail only.