Ajike "AJ" Owens died after a neighbor shot him through the door in a fight between the two.

(CNN) -- A woman was arrested Tuesday night in connection with the death of 35-year-old Ajike "AJ" Owens, who was fatally shot last week in central Florida after knocking on a neighbor's door, a sheriff's office spokesman said.

Marion County Sheriff Billy Woods told reporters Monday that his office was rigorously investigating the case, and that authorities were working to determine "whether or not deadly force was justified."

The state's 5th Judicial Circuit Assistant Chief Prosecutor, Walter Forgie, told CNN earlier Tuesday that the office is working with the sheriff's department on the investigation and a "prompt indictment decision" would be made "once all evidence has been collected and analyzed."

• A black mother of four was shot dead by a neighbor, who was not arrested

Owens' relatives said they want the person who killed her arrested and charged.

They say the shooter, identified by police reports only as a 58-year-old white woman, harassed the black mother and her children and had called them racist slurs before Friday's killing in Marion County, outside Ocala.

Here's what we know.

How the shooting unfolded

At his news conference Monday, the sheriff briefly described how Friday's shooting unfolded, but stressed that authorities had only heard the shooter's account and were still working to interview the children, who were key witnesses to the shooting.

The shooter has been cooperating with authorities, Woods said.

Deputies responded to a home invasion call after 9 p.m. on Friday night and found Owens lying in the grass, with a gunshot wound, according to an incident report from the sheriff's office. She was later pronounced dead at a hospital, according to authorities.

The shooter had earlier "tangled" with Owens' children and thrown a pair of skates at them, hitting them, according to Woods.

A witness told police there was a dispute over a child's tablet electronic device before the shooter threw the skates, according to the incident report.

A boy then re-entered her home and told the incident to her mother, Owens, who went to the neighbor's house to "confront" her, Woods said.

The shooter told police there was "a lot of aggressiveness" on both sides before shooting Owens through the door, according to the sheriff.

Witnesses told authorities Owens went to the shooter's home and knocked on the door before she was shot, according to the incident report.

The neighbor's door "never opened" when Owens tried to confront her, according to Pamela Dias, the victim's mother.

"My daughter, the mother of my grandchildren, was shot and killed with her 9-year-old son next to her. He didn't have any weapons, he didn't pose an imminent threat to anyone," Dias said at another press conference held Monday by the family's lawyers.

The sheriff mentioned the "stand your ground" law

Florida's "stand your ground" law allows people to confront force with force if they believe they or someone else is in danger of serious harm at the hands of an assailant.

Under this law, a person may use deadly force in any place as long as he is not engaged in an illegal activity, is being attacked in a place where he has a right to be, and reasonably believes that his life and safety are in danger as a result of a manifest act or perceived threat committed by another person, as previously reported by CNN.

"That law has specific instructions for us in law enforcement," the sheriff said. "Any time we think, or perceive or believe that may come into play, we can't make an arrest, the law specifically says so."

"What we have to rule out is whether lethal force was justified or not before we can make the arrest," he said, adding: "I wish our shooter had called us instead of taking the law into her own hands."

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Although the sheriff did not explicitly say why he referred to that law, the mention of it ignited backlash from Owens' family and his lawyers, who say there is no way to justify Owens' murder.

On a verified GoFundMe page, Owens' family said "stand your ground" laws have "emboldened individuals to use unnecessary violent force in the name of self-defense," and said they have partnered with national advocacy groups to promote change.

"I could have called 911. I could have done 100 more things... than using deadly force," civil rights attorney Ben Crump, one of the attorneys representing the family, told MSNBC on Monday. "It's unacceptable."

A single mother who "loved her children unconditionally"

The family described Owens as a single mother of four who was full of life, loved her children "with all her being" and helped those around her in any way she could.

She was described on the family's GoFundMe as a devout, Christian mother whose smile lit up a room and who would do anything for her loved ones, both family and friends.

"To say he loved his children unconditionally is an understatement. She was a single mother whose life revolved around her children. She was the mother of the football team and cheerleaders for her children," according to the page.

"She often helped other single mothers who were in similar situations to hers," she added.

The page also said Owens "excelled professionally as a manager" in the restaurant and hospitality industry.

"Honestly, I don't even know how he did it. She is an incredible testament to all the mothers of this world," Dias told MSNBC.

The GoFundMe for Owens' family had raised more than $85,000 as of Tuesday night.

-- CNN's Jamiel Lynch and Carlos Suarez contributed to this report.

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