The girl was shot when her father's gun accidentally went off while he was cleaning it, a relative told FOX 4.
The shooting happened Friday night at the family's apartment home on Ferguson Road, near I-635 in the White Rock area.
34-year-old Elliot Stricklin has been arrested for Injury to a Child (reckless). Police say he is a relative but it is unclear if it is the child's father. The child's father had been taken in for questioning following the shooting.
The girl is out of surgery and is currently in critical condition, according to police.