Membrane

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late Middle English: from Latin membrana, from membrum ‘limb’.

wiktionary

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Late Middle English, borrowed from Latin membrāna(“skin or membrane that covers parts of the body”), from membrum(“a limb or member of the body”) +‎ -āna. Doublet of membrana.

etymonline

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membrane (n.)

early 15c., "thin layer of skin or soft tissue of the body," a term in anatomy, from Latin membrana "a skin, membrane; parchment (skin prepared for writing)," from membrum "limb, member of the body" (see member). The etymological sense is "that which covers the members of the body."