Critola was the paternal aunt and mother-in-law of future Cyrenaean king Arcesilaus II.
Plutarch states that Critola by her husband had other sons, however the historian does not mention their names.
Critola’s husband had died a short time before Eryxo and Polyarchus had plotted to kill Learchus, who also had murdered Arcesilaus II.
After Learchus was murdered, her grandson Battus III was proclaimed king by Polyarchus.
Critola supported Polyarchus who travelled to apologise to Egyptian Pharaoh Amasis II in order to save Cyrenaica.