Tweet. Shima is an English name of Native American-Navajo origin. It is derived literally from the word 'shima' which is of the meaning mother. Shima is used chiefly in the Arabic and Iranian languages, and its origin is Arabic.The name was borne by the daughter of Halimeh, the wet nurse of Muhummad.hima is an English name of Native American-Navajo origin. It is derived literally from the word 'shima' which is of the meaning mother.