Phoenix (CNN) Police investigators have begun to gather DNA from men who work at an Arizona care facility where a woman in a vegetative state gave birth last month.

Phoenix police Sgt. Tommy Thompson said Wednesday the woman and child, who was in medical distress after being delivered December 29, remain in the hospital.

CNN is not reporting the woman's name because she is the victim of sexual abuse.

Detectives have asked men at the Hacienda HealthCare facility in Phoenix to give buccal swabs, Thompson said. Investigators got court orders for those who didn't voluntarily give samples. There is no suspect, Thompson said.

"The family obviously is outraged, traumatized and in shock by the abuse and neglect of their daughter at Hacienda HealthCare," the family's attorney, John Micheaels said. "The family would like me to convey that the baby boy has been born into a loving family and will be well cared for."

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