Courtney, who is Natalie's daughter with actor Robert Wagner, was found in possession of cocaine and heroin after police were called to her Malibu home, reported TMZ online.
The call to the police was allegedly made by someone who heard a woman screaming in the 38-year-old's house before a gunshot was heard. Nobody was injured in the gunshot incident.
While Courtney was busted for the drug possession, the other person involved in the fight, who is said to be a male, was placed under arrest for negligent discharge of a firearm.
She has reportedly been released on USD 10,000 bail.
Natalie herself died of drowning in November 1981 while boating with her husband Robert and actor Christopher Walken. She was 43 at the time of her death.
In November 2011, nearly 30 years after her mysterious passing, Los Angeles County Sheriff's Department announced they opened a new investigation into her death.