It happened around 12:30 a.m. when a deputy with the Durham County Sheriff's Office attempted to pull over the driver.
The driver has been identified as 25 year-old Teonna Alston.
Authorities said as the deputy was walking up to the car, Alston sped off.
The deputy followed Alston before the car lost control and crashed into a house on Meriweather Drive and Old Oxford Road.
Alston reportedly ran from the scene, leaving behind a woman and an infant in a car seat.
Images from the scene showed the unidentified woman in handcuffs while being questioned by authorities and an emergency official holding the baby. It did not appear that they were injured.
The homeowners were upstairs sleeping at the time of the crash, but were not hurt.
Anyone with information to this case or the whereabouts of Alston should contact the Durham Sheriff's Office at (919) 560-0900 or Durham Crime stoppers at (919) 683-1200
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