the woman , who will be identified once she is charged , came forward on thursday night after the baby was found in a south carolina dumpster .
police were looking for the woman after the hours old infant was found in the dumpster struggling to breathe on thursday afternoon .
austin detray and his brother found the newborn in a plastic bag and said she was suffocating ; he also found the umbilical cord and placenta inside .
baby girl is listed in stable condition in hospital and the woman will be charged once she is released from hospital .