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 the Country of Hearts terrible sense of direction; Hatter Mansion, home of Wonderland's Mafia, The Hatters, led by Blood Dupre (The Hatter), with help from his second-in-command Elliot March (the March Hare) and the gatekeepers, Tweedledee and Tweedledum (Tweedle Dee and Tweedle Dum); and the Amusement Park, run by the marquis Mary Gowland (the Duke) with help from a punkish cat, Boris Airay (the Cheshire Cat). All three territories are at war with each other, with the only neutral area being the Clock Tower Plaza in the centre of the Country of Hearts. Alice moves into the Tower and ends up living and helping