The Doctor said that his mother used to sing the Zagreus nursery rhyme to him. (AUDIO: Seasons of Fear) When the Doctor was just a "small child", the Doctor's mother sat by the side of his bed and told him the story of Grandfather Paradox. (PROSE: The Gallifrey Chronicles) The Eighth Doctor relived a memory from his first incarnation where his mother watched as his father held him up as a child to see the stars. (PROSE: The Eight Doctors)
In one universe, when the Doctor was young, his mother and father went on a trek in the mountains with him. The Doctor's father and mother owned a summer house on the other side of Kasterborous. He remembered that her name was Penelope. (PROSE: The Infinity Doctors)
The First Doctor once had a hallucination of his mother stroking his hair and asking him to tell her about his adventures. He thought to himself that she was as beautiful as ever. (PROSE: A Big Hand for the Doctor)
The First Doctor remembered his mother having red hair. (PROSE: A Big Hand for the Doctor) The Eighth Doctor also remembered that his mother had long red hair, and a cut-glass voice; (PROSE: The Gallifrey Chronicles) according to him, she resembled the third incarnation of Romana. (PROSE: The Ancestor Cell) At some point in life the Doctor's mother had grey hair. (COMIC: The Comfort of the Good)
Behind the scenes
Penelope Gate and Ulysses were intended by author Lance Parkin to be the Doctor's parents. Penelope's description matches the description of the Doctor's mother in The Gallifrey Chronicles, and, in the same story, Penelope and Ulysses are said to have a half-human son on Gallifrey. In The Infinity Doctors, the Doctor recalls that his mother's name is Penelope.
The Woman (The End of Time)
Russell T Davies has stated (in a March 2009 email reprinted in REF: Doctor Who: The Writer's Tale - The Final Chapter, pages 622-623) that the unnamed woman, implied to be a Time Lord, in The End of Time was meant to be the Doctor's mother. However, he has also said that whoever the woman is can be up to judgment, and she could be someone else. Additionally, the depiction of the Doctor's mother in The Comfort of the Good bears a striking resemblance to the Woman in both physical appearance and Gallifreyan dress.
The Woman (Hell Bent)
Steven Moffat, the showrunner during the ninth series, has said that he has "no idea" who this woman is supposed to be, and leaves it to Whovians to decide whether they want her to be the Doctor's mother or the Woman from The End of Time is up to them.