Last year, the baby boy was put into the care of the state Department of Children and Families. ABC News spoke to one of Bigbee's former neighbors, who said she couldn't believe Bigbee would sell her grandson.
"I thought they must be in some kind of trouble and that's why they had to get rid of the baby and they couldn't keep it," said Sandra Wells.
Bigbee's attorney, Joan Anthony, told ABC News that Bigbee is hoping for leniency.
"We don't know what to expect," Anthony said. "I have no idea what the court could do."
Anthony said that they made the no contest decision at the last minute decided not to enter into a full trial.
When asked if Bigbee would be apologizing, Anthony replied, "Apologize to who? She doesn't have a reason to apologize."
Patty Bigbee's sentencing has been set for Aug. 11.