English. ‘Hiberno-’ means ‘Irish’ or ‘relating to Irish’. See Oxford Dictionaries.
The Hiberno-Norse, are also known as the or better Norse-Gael. These terms generally refer to descendants of mixed Scandinavian and Irish ancestry. This occurred when the Vikings settled down and interacted with the locals in Ireland and Scotland and became part of their society. See National Museum Ireland.
Related term: (1) Norse-Gael, (2) Gall-Ghàidheil (foreigner Gaels).