Final answer:
The superficial pleural membrane lining the inside of the thoracic wall is called the parietal pleura.
Step-by-step explanation:
The superficial pleural membrane is called the parietal pleura. This membrane is one of the two layers of the pleura, with the other being the visceral pleura, which is superficial to the lungs and extends into the lung fissures. The pleural cavity, which is the space between the visceral and parietal layers, contains a small amount of fluid that serves as lubrication, reducing friction as the lungs contract and expand during respiration.