It happened at Rosecrans and Normandie Avenue just after ten o'clock last night.
Police say the chase began when they pulled over 37-year-old Glenda Jamerson.
Officers say as they were getting out of their car, Jamerson took off.
She then crashed into two cars, killing one person: 20-year-old Kierra Bolton.
Five others were hurt.
Jamerson was arrested.
