- You may be looking for the short story.
In 2005, Sally Sparrow wrote an essay about her Christmas holiday and her conversation with the Ninth Doctor, who already had read the finished essay, through a video cassette recorded in 1985. (PROSE: What I Did on My Christmas Holidays by Sally Sparrow)
In the early 21st century, the Twelfth Doctor helped Evie Hubbard, a Year Seven student at Coal Hill School, with her homework, which was to write an "imaginary" interview with Winston Churchill. The Doctor had cheated, and the interview he helped with wasn't imaginary. (TV: The Woman Who Lived)