Burren is a townland in the civil parish of Templeport, County Cavan, Ireland. It lies in the Roman Catholic parish of Templeport and barony of Tullyhaw.
Burren is bounded on the north by Derrycassan and Coologe townlands, on the west by Killydrum and Derryniggan townlands in County Leitrim, on the south by Raleagh townland in Kildallan parish and Lugnagon townland in County Leitrim and on the east by Kiltynaskellan and Doogary townlands in Kildallan parish. Its chief geographical features are Derrycassan Lake, the Shannon–Erne Waterway and several stone quarries. Burren is traversed by a public road (which was made in 1913 by Father Peter Brady) and several rural lanes.
The townland covers 944 statute acres.
The earliest surviving mention of the townland name is in a poem (Poem 31, verse 18) composed about 1344 A.D. in the Book of Magauran which gives the name as Boireann-
Thomas's own son (Niall McGovern, Chief of the clan 1343-1362) succeeded him in his castle as was the will of God the creator;
The heir he secured meant that he himself, Burren's Pillar, did not really die.
(Do sduaigh Bhoirne nocher bhás
An t-oighre do thuair Tomás).
The 1609 Baronial Map depicts the townland as Burrin. The 1665 Down Survey map depicts it as Burrin.
In the Plantation of Ulster by grant dated 4 June 1611, along with other lands, King James I granted the two polls of Burrin to Donill Backagh McShane O'Reyly, Gentleman. The said Domhnall O'Reilly was the nephew of two chiefs of the O'Reilly clan- Aodh Connallach mac Maolmhordha who was chief from 1565–1583 and Eamonn mac Maolmhordha who was chief from 1596–1601. He was also a first cousin of Cathal O'Reilly who was simultaneously granted lands in Bellaleenan townland and of Cathaoir O'Reilly who received lands in Kildoagh townland. Domhnall O'Reilly then sold the townland to Walter Talbott, the owner of Ballyconnell who then by deed dated 11 February 1614 sold the two polls of Barrin to Sir Stephen Butler of Belturbet.