The Baronetcy of An Bhá nan Éirith Ghréine is a baronetcy in the Rockallic Federal District in Rockall, a member nation of the Seafaring Confederation. It is one of five baronetcies that together form the city of An Bhá nan Éirith Ghréine; the others are An Iméallean na nCháteair, Crannchóiste, Iònnegéadhna and Léacheannelochián. It is the largest baronetcy of the five in total area and the second most populous baronetcy of the five after Léacheannelochián, with 655,930 inhabitants.