Martin went on to play leading musical roles including Mabel in the 1996 production of Mack and Mabel at the Piccadilly Theatre, Nellie Forbush in South Pacific, Mrs Lovett in Sweeney Todd and Norma Desmond in Sunset Boulevard. She also guest-starred in the 1988 Doctor Who serial The Greatest Show in the Galaxy, starring Sylvester McCoy as the Doctor, in which she played a punk werewolf. Many years later, she provided the voice of the Queen in Voyage of the Damned, the 2007 Christmas special, which starred David Tennant as the Doctor. She has made numerous radio appearances including a specially written one off special for BBC Radio 2, Cybill Liberty, written by Mark Brisenden featuring a 1940s female radio detective Cybill Liberty, including Judy Garland and Carmen Miranda all played by Jessica.