According to court documents, the victim has been identified as 68-year-old Sharon Griffin.
Her daughter told ABC13 that she loved her mother and that they were close. The pair lived together, she said.
The Houston Police Department said Jacolby Pendleton, 30, is now charged with murder in connection with Thursday night's fatal crash. HPD said Pendleton is also among seven suspects who were recently arrested in shootings across southeast Houston.
SEE ALSO: Suspect accused of killing woman at end of chase still on the loose
According to police, it all started when officers spotted a known felony suspect who had warrants out for aggravated assault, engaging in organized crime, and possession of a controlled substance.
Then, at about 8:20 p.m., they tried to pull him over, but he refused to stop, leading them on a chase near the I-610 South Loop interchange with SH-288.
Police said that during the chase, the suspect ignored stop signs and red lights and, at one point, even drove on the wrong side of the road.
Griffin's daughter told ABC13 she didn't think police should have pursued the suspect in the residential neighborhood.
The chase came to an end when the suspect crashed into a dumpster near Rebecca Street and Tierwester and took off. That's when police noticed that the woman was hit by the suspect's car during the crash. Officers tried to start CPR and called for paramedics, but she was pronounced dead at the scene.
ORIGINAL REPORT: Suspect sought after woman killed in crash at end of police chase near I-610 S. Loop, HPD says