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
Tweedledum and Tweedledee Carroll, having introduced two fat little men named Tweedledum and Tweedledee, quotes the nursery rhyme, which the two brothers then go on to enact. They agree to have a battle, but never have one. When they see a monstrous black crow swooping down, they take to their heels. The Tweedle brothers never contradict each other, even when one of them, according to the rhyme, "agrees to have a battle". Rather, they complement each other's words. This fact has led Tenniel to assume that they are twins, and Gardner goes so far as to claim that Carroll intended them to be