Place butterscotch boiled sweets in a large resealable plastic bag. Close tightly. Pound with a rolling pin or mallet until crushed finely. Pour out onto a small plate. Wet the outside rim of a martini glass with water. Dip glass in crushed butterscotch candies to lightly coat.
Fill cocktail shaker half full with ice. Add butterscotch schnapps and vanilla vodka; shake until well mixed and chilled. Strain into a martini glass and serve.
