In a mixing glass half-filled with ice, stir the rum, peach-flavored brandy and vermouth. Strain into a cocktail glass. Garnish with lime or lemon slice.
As orange flavor defines the Screwdriver cocktail, peach flavor defines the Corkscrew. Any type of peach-flavored spirit can be substituted for the peach-flavored brandy, whether peach liqueur or a peach-flavored rum, schnapps or vodka.