James Scott Berish, 23, of Durham, turned himself in on Wednesday. He has been charged with assault with a deadly weapon inflicting serious injury and one count of possession of a stolen firearm.
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Police said the shooting happened Sunday at 3:20 a.m. in the 4200 block of Garrett Road when gunfire from the apartment above came through the ceiling and struck the child.
READ MORE: Police still investigating after girl shot while sleeping
Deisy Medina was rushed to the hospital where she was in critical, but stable condition. She has since been treated and released.
Officers said the investigation is ongoing.