Justus Liam Gonzalez was born Thursday night at 7 pounds, 4 ounces.
The 29 year-old Gonzalez missed a court appearance Thursday because she was in labor.
The father of the child is believed to be Ronell Wilson, convicted of killing undercover detectives James Nemorin and Rodney Andrews in 2003. Wilson could face the death penalty.
Gonzalez is expected to eventually plead guilty to engaging in sexual relations with an inmate.
Prosecutors said in court that a plea agreement has been provided to her. If she agrees to the plea, she would likely avoid having to testify at Wilson's upcoming resentencing, where Wilson could face death.
She faces 15 years in prison.
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