The hit-and-run happened at Bissonnet and Hodges Bend Thursday.
Angela Smith, 39, is accused of hitting the girl with her car and then taking off.
Deputies say she failed to stop because she had a suspended driver's license and was afraid of what might happen next.
Smith was detained Friday morning. She was charged and taken to jail around 7 p.m. that day.
READ MORE: Woman charged in hit-and-run crash that injured 8-year-old in Fort Bend County
Suspect charged in hit-and-run crash involving 8-year-old girl