Google definitions states that media has it roots in: late 19th century: shortening of modern Latin tunica (or membrana ) media ‘middle sheath (or layer)’.
This really did not make much sense to me, so I kept looking...
Than I found Medea, of ancient Greek mythology, Medea (/mɪˈdiːə/; Ancient Greek: Μήδεια, Mēdeia means "planner / schemer") is the daughter of King Aeëtes of Colchis...Wikipedia Article
From this I could construct media as Med-ia, works or articles of or like Medea..., and that seemed to make much more sense to me.
I wanted to see if that was a possibility, or if I'm simply getting "creative" with it.