Caroline Johnson, 46, had left the engine of her Citroen Picasso running and one of its doors open outside her home when the car-jacker jumped in and drove off.
The mother-of-two was knocked over and left lying in the road suffering severe internal injuries as the thief escaped in the people carrier.
Mrs Johnson, a receptionist, was undergoing emergency treatment at Wexham Park Hospital in Slough, Berks, where she was in intensive care.
Her husband, Mark Collins, 51, said that his wife is suffering from internal bleeding, two punctured lungs, a broken leg, and she also had to be resuscitated after her heart stopped beating.
He said: "She was scraping ice off the windows and somebody jumped in the car and ran her over.
"I am mortified and there is nothing anyone can say apart from please help us find the Picasso car so the police can do forensic tests and catch this person.
"The kids are in deep shock as am I and she is in a very bad way in hospital."
Mrs Johnson, who works part-time at a veterinary surgery, was about to take her son, Jason, 13, to school when the attack happened outside her house in Humber Way, in Langley, Berks.
Mr Collins, a lorry driver, who was comforting sons Jason and David, 17, added: "Stealing a car from a mum, getting ready to take her kid to school - the child could have been in the back. It is just awful."
Police are appealing for witnesses to the incident, which took place at around 8am on Tuesday, and anyone who has seen the champagne coloured vehicle with the registration MC02 CAZ since the attack.
No witnesses have yet come forward, but Mrs Johnson managed to say what had happened before passing out.
Detectives say they are looking for a white man thought to be in his 30s.

Source: http://www.telegraph.co.uk/news/news...indscreen.html