11 January

On 11 January 1894, when the Eighth Doctor and Sam Jones arrived in London, the Zygons were snatching cadavers from their graves. Working together with an old friend, Professor George Litefoot, the Doctor managed to save London from the unearthly "body snatchers". (PROSE: The Bodysnatchers)

In 1692, the First Doctor, Susan Foreman, Ian Chesterton and Barbara Wright arrived in Salem Village, Massachusetts. As the TARDIS needed its image translator readjusted, the Doctor made his companions exit the ship and explore outside. While they were outside, he intended to dematerialise, and come back using the fast-return switch after a month from his perspective of fixing it. (PROSE: The Witch Hunters)

In 1962, Meredith Roberts was born. (TV: Reset)

According to one account, George was "born" on or prior to 11 January 2003, (TV: Night Terrors) but according to another, he was "born" on 11 February 2003. (PROSE: Night Terrors)

Behind the scenes
According to The Brilliant Book 2011, which is not considered a valid source on this wiki, the First Doctor encountered Winston Churchill in 1911. He stepped out of the doors of the TARDIS, and told Churchill it was an honour to meet him. When Churchill informed him they had met before, the Doctor chuckled and said, "That's the trouble with time travel".