Holly Noel Kapchinski has been charged with aggravated assault with a motor vehicle and endangering a child.
Precinct 4 Constable Mark Herman's office says they responded to the Parkside Place Apartments at 6220 FM 2920 on Sunday.
Deputies say Kapchinski got into an argument with a man and then got into her vehicle and ran over him before striking an iron fence.
The constable's office say Kapchinski's 8-year old daughter, who was in the front seat of the car, hit her head on the windshield but will be OK.