The Scottish and Irish surname McNeice is an anglicized form of the Gaelic name Mac Naois, a patronymic from a shortened form of the personal name Aonghus. The personal name Aonghus is composed of the Celtic words aon meaning “one’ and  gus meaning “choice.” The name was borne by an Irish god and a famous 8th-century Pictish king. It is also the name of a county on Tayside in Scotland.  There are 500 bearers of the name McNeice living in the United States.