Combine butter, corn syrup, sugar, and vanilla in a medium saucepan; cook over medium heat, stirring frequently, until butter melts. Add flour and salt; stir until well blended. Bring to a boil, stirring constantly. Remove from heat, and stir in sesame seeds. Place pan in a bowl of hot water.
Drop batter by teaspoonfuls onto greased cookie sheets. Bake at 375° for 5 minutes.
Remove from oven, and let stand for 1 minute. Shape each wafer around the buttered handle of a wooden spoon. Slide off, and place on a wire rack to cool completely. (Bake only 5 wafers at a time because they harden quickly after baking.) Repeat procedure with remaining batter. Store wafers in airtight containers.