Authorities said Pekepni Brown, 35, came home late Friday and began punching her daughter at their home in the 800 block of Metcalf Street.
The girl hid in the bathroom, and her mother pursued her and began whipping her with an extension cord, Richmond County Sheriff's Sgt. Blaise Dresser said.
The fight continued Saturday after the girl fled to her aunt's home in the 1500 block of Wilder Street.
Dresser said the girl was treated for bruises and other wounds at the Medical College of Georgia Hospital.
Brown is wanted on charges of first degree cruelty to children.
Anyone with information can call the sheriff's office at (706) 821-1080.