Oakes and her daughter returned to the motel and spent the night with the infant's corpse. The baby was placed in the freezer shortly thereafter.
Oakes told investigators she and Mathis had been under the influence of illegal drugs, the newspaper reported.
Investigators from Georgia contacted Dothan police in reference to a possible infant death, and authorities learned Oakes and Mathis had fled to central Florida. The couple was located June 4, in Bronson, Florida. Both were arrested after a standoff.
It wasn't until after Oakes and Mathis were arrested that police learned the location of the baby. Police said the infant's body had likely been in the freezer five or six days when they recovered it.
Mathis remains jailed in Florida on several charges. Oakes will be arraigned Jan. 8 in Houston County, Alabama, where she will enter a guilty or not guilty plea.
The Associated Press contributed to this report.