LOS ANGELES (CBSLA) — A murder suspect who led police on a chase through South L.A. with a child passenger was taken into custody Thursday afternoon.

The pursuit began about 11:45 a.m. near Main Street and 88th Place and ended about a half hour later near Avalon Boulevard and 43rd Street, the LAPD said.

READ MORE: 14 Killed In San Bernardino Terror Attack Will Be Honored With New Memorial

The woman surrendered following a brief standoff with officers after their patrol vehicles blocked the car at an intersection. Her 5-year-old daughter in the car with her was taken into custody.

When the pursuit was over her relatives came out screaming at police, pleading with them not to arrest her and saying she did nothing wrong and that the stabbing was justified.

“Some of the family members started supporting her and why she did what she did. But right now everything is under investigation. We’re going to look at all the facts,” said an LAPD spokeperson.

The woman and her vehicle matched descriptions from a fatal stabbing that occurred about 12:30 p.m. Wednesday in the area of Vernon and Central avenues, according to Officer Drake Madison of the LAPD’s Media Relations Section.

READ MORE: Annual Community Leaders Hanukkah Candle Lighting Held At Grand Park

Officers responding to an assault with a deadly weapon call found a man with a stab wound at the location. The victim – identified by the coroner’s office as 27-year-old Ronald Miller – was taken to a hospital, where he was pronounced dead, Madison said.

The woman involved in the chase matched the suspect’s description and when officers tried to pull her over, she took off, Madison said.

Her name was not released.

Police say it was not a random act. They say they have evidence that the woman knew the person she had stabbed and apparently there had been a long time running feud between the two of them.

MORE NEWS: Vacant Homes, Properties Owned By Caltrans Would Be Converted Into Affordable Housing Under Proposed Plan

(© Copyright 2018 CBS Broadcasting Inc. All Rights Reserved. City News Service contributed to this report.)