The woman, 63-year-old Rosa Elena Hernandez, lived in Long Beach, police said. A family member said she went by the name by Rosa Manjarrez.
Police said an attacker assaulted Manjarrez and, after a bystander tried to intervene, the man used a nearby Bird rental scooter as a weapon to continue assaulting her. Manjarrez suffered significant injuries to her upper torso and was declared dead at the scene.
Daughter Linda Lorena Lopez Manjarrez said her mom was "the best" and always supported her family. "My mother was always happy and supporting her family. She didn't have issues with anybody," Lopez Manjarrez said.
"It's such a terrible loss; I wish it wasn't true."
Bird said in a statement that the company is cooperating with the criminal investigation.
"We are deeply saddened by this act of violence and our hearts and thoughts go out to the victim and her family," a Bird spokeswoman said. "We will work with local law enforcement to help with the investigation into this tragedy."
CNN's Diana Navarro contributed to this report.