The Horde of Travesties fought in the Last Great Time War.
The Tenth Doctor mentioned the Horde of Travesties as one of the horrors that could have been released when the Saxon Master broke the time-lock on the war, along with the Nightmare Child, the Skaro Degradations and the Army of Meanwhiles and Neverweres led by the Could've Been King. (TV: The End of Time) The War Doctor fought against the Horde of Travesties. (PROSE: A Prologue)