The relationship is of the Qi and Blood. Lung is Qi and Liver is Blood. These organs rely on each other in that the Liver Blood is regulated by the Lung Qi and the Lungs rely on the Liver to move Qi. Lung governs the Qi and the Liver stores the blood for menstruation.
Moral of the story: If the Lung isn't healthy and moving the Qi, blood can become stagnate, and this negatively effects your cycle.
So cook up those mushrooms and garlic, have an apple, brew some nettle tea, and get your Qi movin'!
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