Kingdom of the Rhinns
Na Renna, or the Kingdom of the Rhinns, was a Norse-Gaelic lordship which appears in 11th century records. The Rhinns 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 and Futerna 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:| Dates | Name | Styles | Notes |
| d. 1034 | Amlaíb mac Sitriuc | 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, Angelsey and Gwynedd". | Son of Sigtrygg Silkbeard. His daughter Ragnaillt was the mother of Gruffudd ap Cynan. |
| d. 1065 | Echmarcach mac Ragnaill | rex innarenn | Previously king of Dublin and king of Man; on his death, he was merely "King of the Rhinns". |
| d. 1093 | Macc Congail | rí na Rend | Known only by obituary. Possibly a son of Fingal mac Gofraid. |