The majority of families called Burns inIreland are either of Scottish immigrant stock or originally Byrnes when this name is encountered in north Connacht it is usually the anglicized form of Mac Conboirne, which was first anglicized phonetically as MacConborney. The majority of families called Burns inIreland are either of Scottish immigrant stock or originally Byrnes when this name is encountered in north Connacht it is usually the anglicized form of Mac Conboirne, which was first anglicized phonetically as MacConborney.