Na Renna, or the Kingdom of the Rhinns, was a Norse-Gaelic lordship which appears in the 11th century records. The Rhinns  was a province in medieval Scotland, and comprised, along with Farines, the later county of Wigtown

Wigtownshire

Wigtownshire or the County of Wigtown is a registration county in the Southern Uplands of south west Scotland. Until 1975, the county was one of the administrative counties used for local government purposes, and is now administered as part of the council area of Dumfries and Galloway...

. The Martyrology of Óengus gives some idea of the kingdom's domain in the 11th century, as Dún Reichet (Dunragit

Dunragit

Dunragit is a village on the A75, between Stranraer and Glenluce in Dumfries and Galloway in south-west Scotland. It grew up around the west gate of Dunragit House, an 18th century three-storey four-bay country house. It expanded considerably in the 1950s...

) and Futerna (Whithorn

Whithorn

Whithorn is a former royal burgh in Dumfries and Galloway, Scotland, about ten miles south of Wigtown. The town was the location of the first recorded Christian church in Scotland, Candida Casa : the 'White [or 'Shining'] House', built by Saint Ninian about 397.-Eighth and twelfth centuries:A...

) 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 Amlaíb mac Sitriuc Amlaíb mac Sitriuc was the son of the Hiberno-Norse King of Dublin, Sigtrygg Silkbeard, a member of the Uí Ímair dynasty. His ancestors included Brian Boru, Olaf Cuaran, and Gormflaith, who were influential in medieval Ireland... (Óláf Sigtryggsson)	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 Sigtrygg Silkbeard Sigtrygg II Silkbeard Olafsson was a Hiberno-Norse King of Dublin of the Uí Ímair dynasty... . His daughter Ragnaillt was the mother of Gruffudd ap Cynan.
d. 1065	Echmarcach mac Ragnaill Echmarcach mac Ragnaill Echmarcach mac Ragnaill was the Gall-Gaidhel King of the Isles, Dublin , and much of Galloway. According to Seán Duffy he was either a grandson or great-grandson of Ivar of Waterford, but an alternative exists. Benjamin Hudson has contended Echmarcach was a grandson of Gofraid mac Arailt...	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.