Morag /mor-ag/ [2 sylls.] as a girls' name. Morag's name origin is Latin, and the meaning of Morag is star of the sea. Morag is an alternate form of Mary (Latin). Moraga is a common last name.Kreatif forms: Marag, Mayrag, Momag.hown below is an analysis of the popularity of Morag and affiliated names. Prominent related forms of Morag (outside Top 1000) are Mara (#695 the previous year) , Maren, Maria (#115) , Mariam (#568) , Marian, Marie (#579) , Marin, Marla, Marlo, Mary (#120) , Maura, May, Mayra, Miriam (#305) , Moira and Molly (#122) .