Mary: 

In the popular language it means: “The Illuminator.” (St. Jerome, M 1.23.780)

In the Aramaic language it means: “Lady” or “Princess” (Bover).

The scientific meaning of Mary in the Hebrew language is: “Beautiful” (Bardenhewer).

In the Egyptian language, where this name was first used, it means: “The favorite of Yahweh God” (Exodus 15:20). Mar or Myr, in Egyptian, meant the most favored of the daughters. And “Ya” or “Yam” meant: the true God —Yahweh—. Thus MAR-YA or MYR-YAM in Egyptian would mean: “The favorite Daughter of God” (Zorell).

Fathers of the Church:

The Hebrew name of Mary is translated as Domina in Latin; the Angel therefore gives her the title of Lady (SAINT PETER CHRYSOLOGUS, Sermon on the Annunciation of the Blessed Virgin Mary, 142).

These words, the Lord is with thee, are the most exalted that could have been said to her. With good reason, then, does the Angel reverence the Virgin, for being the Mother of the Lord, and therefore Lady. And the name of Mary is most fitting for her, which in Syriac means “Lady” (SAINT THOMAS, On the Hail Mary, loc. cit., p. 183).

And the name of the Virgin was Mary. Let us also say, concerning this name, that it means “star of the sea” and is suited to the Virgin Mother with the greatest fittingness (SAINT BERNARD, Homily on the Virgin Mother, 2).

Because she alone dispelled the curse, brought the blessing and opened the gate of paradise. For this reason the name “Mary” suits her, which means “star of the sea”; just as the star of the sea guides sailors to port, Mary directs Christians to glory (SAINT THOMAS, On the Hail Mary, loc. cit., p. 185).

With good reason is she called “Mary,” which means “illuminated”: The Lord will fill your soul with splendors (Is 58:11); and it also means “illuminator of others,” in reference to the whole world; and she is compared to the moon and the sun (SAINT THOMAS, On the Hail Mary, loc. cit., 182).

The word Mary means in Hebrew star of the sea, and in Syriac Lady. And rightly so, because she merited to bear in her womb the Lord of the world and the perennial light of the ages (SAINT BEDE, in Catena Aurea, vol. V, p. 36).

Source: Month of Mary, by Father Eliécer Sálesman, Paulinas, Caracas, Venezuela