McNally, McAnally, Mac Con Ulaidh A Gaelic surname being a sept of Orghialla, meaning ‘son of the hound of Ulidia’. In 1890 McNally was principally found in Antrim, Armagh, Monaghan and Dublin. and the estimated number of bearers was 4,520 (including variants). In the United States McNally is the 1,795th most numerous surname with an estimated 19,250 bearers.