The wife of lawyer Cheney Mason told authorities that she and her family have been bombarded with phone calls stating that Anthony "can run but she can't hide" and warning that Mason and attorney Jose Baez "better sleep with one eye open."
Shirley Mason says her home phone number was posted on Facebook. Mason made a call to 911 fearing for her safety.
Anthony was found not guilty on July 5 of murdering her 2-year-old daughter Caylee. She was released from prison early Sunday.
The Associated Press contributed to this report.