Miss Lime was the headmistress of Charlotte Pollard's finishing school in 1930 when she escaped and went to the Cardington airbase to board the British airship R101 in October of that year. Charley's mother Lady Louisa Pollard was furious at the lapse of security at the school.
While dealing with the aftermath of the explosion of Anti-Time, the TARDIS created a series of holographic projections, taken partly from reality and partly from the memories of Charley, the Eighth Doctor and the TARDIS itself. The projection of Miss Lime was created using the image of the Third and Fourth Doctor's companion Sarah Jane Smith. (BFA: Zagreus)