MONA.  A contracted form of Italian Madonna (q.v.), meaning "My Lady."  Also spelled Monna. 

MONA (منى).  A variant form of Arabic Muna (q.v.), meaning "desire, wish."  Also spelled Mouna.  Usage: Egypt, Iran (Persia).
    Mona Ghoneim, an Egyptian composer and pianist. (Wiki)

MONA.  Latinized form of the British word môn-au, meaning "lonely" or "remote."  Usage: America, England, Ireland, Norway, Sweden.

    Mona was the name given by the Romans to the Isle of Anglesea, as well as to the Isle of Man.

There once lived a maid in Mona's fair Isle,
Whose sweet face was never lit up by a smile;
She mournfully sighed whilst others were gay,
And seemed to grow sadder as years passed away.
        The Fair Maid of Mona's Isle (Rowlands.)

    Mona is the title of an Irish novel by Miss Alice Clowes. (Girls' Christian Names, Swan, 1905)