Madge Arwell was the mother of Cyril and Lily Arwell and was briefly a companion of the Eleventh Doctor. She was a terrible driver, with a tendency to bump into things even when parked. Her husband, Reg Arwell, was a bomber pilot in the Second World War.
Prior to his disappearence over the English Channel just before Christmas 1941, Madge had helped out The Doctor in 1938 when he fell from a sub-orbital spaceship into a field she was bicycling past. He told her he would return the favour if she made a wish. The Doctor kept this word and returned in to give her children the "best Christmas ever".
Her efforts to save her children and herself from the Wooden King and Wooden Queen, caused Reg's original disappearance over the channel, but in the same moment, he was returned safe and well due to her strength as both a female and a mother as she set the souls of the Androzani Trees free.
Later, as The Doctor bade farewell to her, Madge insisted he spend Christmas day with family. Madge's persistence led to the Doctor visiting his in-laws, Amy Pond and Rory Williams for Christmas dinner in 2013. (TV: The Doctor, the Widow and the Wardrobe)
Personality
Madge had a habit of taking in 'waifs and strays' and could even come across as slightly dotty. When her family is threatened, she revealed a steely determination, pulling a gun on the Harvest Rangers, taking control of their futuristic tripod, braving acid rain and piloting through the time-space vortex with a forest in her head. She was also kind enough to help strangers in need. (TV: The Doctor, the Widow and the Wardrobe)
Skills
She could drive, even if she tended to crash into things. She could also pick a lock with a pin. (TV: The Doctor, the Widow and the Wardrobe)