Monna \m(on)-na\ as a girl's name is a variant of Mona (Irish, Gaelic), and the meaning of Monna is "noble, aristocratic".
The baby name Monna sounds like Minna, Moyna, Moina and Mouna. Other similar baby names are Donna, Honna, Jonna, Lonna, Monca, Morna, Nonna and Ronna.