Put the cherries, bourbon, cherry brandy and lime juice in your cocktail shaker (or a large glass will do). Muddle the cherries with a muddling spoon or the end of a rolling pin.
Fill the cocktail shaker with ice and shake for 30 seconds.
Fill two rocks glasses with plenty of ice. Strain the cocktail over the ice, dividing between the glasses.
Top up with cola and serve with a wedge of lime. Serve immediately.