Bobby & Laurie their peak in late 1964, busily touring the country and appearing in numerous concert and television performances. They had dozens of engagements and personal appearances every week, with as many as six shows on a Saturday night. One unusual performance was playing 'Tweedledum' and 'Tweedledee' in a Christmas pantomime production of "Alice in Wonderland" at the Tivoli Theatre in Melbourne in December 1964. In early 1965 the pair appeared on the "Teen Scene" music television show on the ABC, where they were famously dragged off the stage by screaming female fans. They appeared in the premiere episode of Channel 0's
Alice in Wonderland (1985 film) into the woods. In the woods Alice meets Tweedledum and Tweedledee, who sing and dance about the proper edict of greeting one another ("Shake Hands"). After confirming that they aren't in the least bit tired they sing Alice the story of ("The Walrus and the Carpenter"). After realizing that the Walrus and the Carpenter ate all the Oysters, she runs back into the woods. She bumps into The White Queen again, who sings of the logic of ("Jam Tomorrow, Jam Yesterday") "but never ever jam today" as a consequence of living backwards and ends up turning herself into a sheep.