Evidence collected at the scene found the child was shot inside a trailer in the Pine Grove Trailer Park.
The baby's wounds are not considered life threatening.
17-year-old Robert Wallace was taken into custody on charges of armed criminal action, second degree assault and endangering the welfare of a child in the first degree. 20-year-old Shauntoryia Jones was also arrested for endangering the welfare of a child in the first degree.
The Columbia Major Crimes Unit is investigating the shooting.