Police said Stevenson's 9-year-old daughter was reported missing on Friday and she was found by a schoolmate around 3 a.m. Saturday.
The girl was sitting on a swing in the backyard of a neighbor's house, where she told police she planned to stay the night, according to the report.
The girl had a visible black eye on the left side of her face, and bruising indicative of being grabbed under one arm, which was discovered after she was taken to Dayton Children's Hospital, according to the report.
The girl told police her father hit her while yelling at her for taking his cell phone to school and breaking it, according to the report.
Police said county children services granted temporary custody to the child's mother.
Stevenson is being held in the Montgomery County Jail on suspicion of child endangering.
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