The woman was held on Wednesday after a quantity of a substance believed to be cocaine was found in her upper St Andrew house by police investigating an alleged abduction.
The son surrendered to the police yesterday and investigators say he is to be questioned in due course.
In confirming the arrest of the two, director of communications for the police force, Karl Angell, told The Gleaner that the names of the two were being withheld as, up to late yesterday evening, they had not been charged.