The Eleventh Doctor once tried to take Amy Pond to Basingstoke, but ended up on a rainforest planet instead.
The Doctor later requested to Nerena Cargill that the previously nameless planet be named "Basingstoke". (COMIC: Supernature [+]Jonathan Morris, DWM Comics (Panini Comics, 2010).)
Behind the Scenes
Sarah Sutton was from Basingstoke. According to her, Tom Baker used to tease her by calling her "Miss Basingstoke." (DCOM: The Keeper of Traken)