Na Renna, or the Kingdom of the Rhinns, was a Norse-Gaelic lordship which appears in 11th century records. The Rhinns (Scottish Gaelic: Na Rannaibh) was a province in Medieval Scotland, and comprised, along with Farines, the later Wigtownshire. The Martyrology of Óengus gives some idea of the kingdom's domain in the 11th century, as Dún Reichet (Dunragit) and Futerna (Whithorn) are said to lie in the kingdom, implying that it embraced the whole of later Wigtownshire.
List of known rulers
Three rulers are explicitly stated in the sources to have ruled this kingdom:
This was not Óláf's only kingdom; he was said by the Life of Gruffudd ap Cynan to have ruled "Dublin, Mann, Galloway, the Rhinns, Anglesey and Gwynedd".