This species was previously known as C. bilineatus (Lacépède, 1802), however research by Maurice Kottelat has determined that Lacépède's description of Achirus bilineatus (later moved to genus Cynoglossus) was taken from materials that derived directly from Bloch's description of Pleuronectes bilineatus and thus renders Lacépède's A. bilineatus and thus C. bilineatus as junior synonyms of Bloch's Pl. bilineatus (now Paraplagusia bilineatus). Thus the earliest available name for this particular species becomes Bleeker's Plagusia quadrilineata.