Mady \m(a)-dy\ as a girl's name is a variant of Madeline (Hebrew) and Maida (Old English), and the meaning of Mady is "woman from Magdala; maiden; young, unmarried woman".
The baby name Mady sounds like Maddy and Mada. Other similar baby names are Lady, Mandy, Cady, Kady, Jady, Macy, May, Mary and Nady.