Place figs, rosemary, vanilla bean, sugar and water in a medium saucepan. Bring mixture to a boil over medium-high heat. Once the mixture reaches a boil, remove from heat, and let steep at least 2 to 3 hours.
Strain mixture through a fine mesh strainer and refrigerate until ready to use.
For the Bourbon Fig Fizz:
Place bourbon, fig syrup, lemon juice, and egg white in a cocktail shaker. Shake vigorously for one minute, until mixture is very frothy.
Add ice and shake for an additional 10 seconds.
Strain cocktail into a martini or coupe glass. Add a splash of club soda.
Recipe by Allons-Eat! at https://www.allonseat.com/bourbon-fig-fizz/