First it's Ian Chesterson & Barbara Wright, they were both taught Susan Foreman (the Doctor's granddaughter) who stumbled upon the Tardis whilst following Susan to an abandoned junkyard. They then become the 1st Doctor's companions. For more info, watch "An Unearthly Child"
Ian and Barbara are married as of 2010 in the Doctor Who universe. This was mentioned by Sarah in SJA: Death of the Doctor. She Googled "TARDIS" and found an Ian and Barbara Chesterton. They travelled with the First Doctor from "An Unearthly Child" right through to "The Chase".