Milani

Please, change the description:

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Derived from the Italian city of MILANO (see Milan).
*So people know that the original name is Milano and Milan is only the Anglophone form.

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This is right.

Given the previous use of perfume or cosmetic names such as Chanel, L'Oreal, Dior, Toccara, etc., as given names in the USA, this is indeed likely to be a transfer from the name of the cosmetics brand. [noted -ed] The founders of the brand named it after the city of Milan, Italy. Perhaps by accident, Milani is also an Italian surname which means the bearer's ancestor came from Milan. (Other Italian surnames with the same origin are Milano, Milanese, and Milanesi.)