It happened around 8:30 a.m. Friday on Lake Avenue in Yonkers.
Police said a driver hit a parked vehicle then struck the mother and child who were crossing the street and finally crashed into a building.
Yonkers Police Commissioner John Mueller tells Eyewitness News that he believes two officers, who were grabbing breakfast at a bagel shop next door, ran over and lifted the car off of the mother and child.
The 36-year-old woman suffered a compound fracture to one of her leg's and her child has a fractured skull, police said.
The owner of the barbershop suffered a minor cut to his stomach.
Police said the driver was 43-year-old David Poncurack, who is unlicensed.
The car he was driving is registered to someone else and Poncurack's girlfriend was in passenger seat of car during the incident.
Video from NewsCopter 7 up over the scene showed major damage to the front of a barbershop.
Raw video: Car slams into barbershop in Yonkers
The vehicle appears to have ended up all the way inside the business.
Police are working to determine what caused Poncurack to lose control.
Both the mother and the child are expected to recover.
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