Dama \d(a)-ma\ as a girl's name is a variant of Damita (Spanish), and the meaning of Dama is "little noblewoman".
The baby name Dama sounds like Damia, Damya and Tama. Other similar baby names are Cama, Dada, Dalma, Dana, Dara, Daya, Jama, Kama, Pama and Rama.