Officers say two victims - a 31-year-old woman and her 9-year-old son - were found inside their vehicle on Halyard Court.
The window of their gold SUV appeared to have been shot out.
Police say victims, whose names are not being released at this time, were taken to a local hospital with serious injuries.
ABC11 was on the scene when one of the victims was placed on stretcher and put inside an ambulance.
People that live in the area told ABC11 around 6:15 p.m. they started hearing police sirens blaring in their ordinarily quiet street.
"I heard the rescue squads. I thought they were going down the street. But they were getting closer and closer, and I look out the window and then all of them were here," said eyewitness Thomas Suitt.
The victims' family told ABC11 when the shooting happened, the Durham mother was bringing three kids to a sleepover and had just pulled into her driveway for a moment so one of her sons could grab a videogame.
"Some random guy just walks up to the car, and she said he looked at her...and just shot her, and looked in the backseat, and just shot her son," said the victims' aunt Theresa Reid.
"One of the other kids said 'duck down'...and by the time he said that...everything had happened, everything had happened...it was total chaos," she added.
The mother suffered a gunshot wound to the face.
Family told ABC11 when the gunman walked up to the driver's side door, the mother flinched and turned her head as he pulled the trigger causing a bullet to pierce through her nose and her jaw.
The third grader remains in the hospital Tuesday after suffering a gunshot wound to the head. Family told ABC11 he is not doing well.
"You have to be an evil being, no God to do something like that," said Reid.
Family told ABC11 the mother drove quickly to a loved one's house where police were called.
Reid says her niece is a hardworking, loving mom who cherishes her children.
"Her son did not deserve this...they have not done anything to anybody...so we just ask for everybody's prayers," Reid said.
On Tuesday, police released tape of a neighbor describing what she heard to a 911 operator.
"Can you send an officer to Lucas Drive; somebody just shot some guns off. I don't know where it came from. I was outdoors washing my car and the guns went off and scared the hell out of me. I thought I heard about one, two, three, four...probably about five or six or more. I heard a lady say call 911, that's all I heard," said the neighbor.
The Durham family thinks they were targeted Saturday night, but police are not saying why.
Police are asking for the public's help in solving the act of violence.
Investigators are still trying to determine the circumstances surrounding the incident. No suspect information to release at this time and no charges have been filed. Anyone with information is asked to call Crime Stoppers at (919) 683-1200.