Question: What former monastery located in the northern outskirts of Barrow-in-Furness, Cumbria, England had monks that elected the man described by the "Chronicle of Mann" as related to the ruling family of the Kingdom of the Isles?

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Jerichow Monastery: The Jerichow Monastery ( German: "Kloster Jerichow" ) is a former Premonstratensian monastery located in the northern outskirts of Jerichow, near the shores of the Elbe River, in the state of Saxony-Anhalt of Germany.

Zuqnin Monastery: Zuqnin Monastery was an ancient Christian monastery located just to the north of Amida, near the modern-day city of Diyarbakır in eastern Turkey.  John of Ephesus was ordained here by John of Tella in 529.  It is at this monastery that the "Zuqnin Chronicle" was written by a West Syrian monk, probably Joshua the Stylite, in around 775, of which the monastery is most associated with.  The library of the monastery was of considerable renown to scholars in the area, containing many valuable books, including the works of Eusebius, Socrates, John of Ephesus and the Chronicle of Zuqnin.

Maha Bodhi Tahtaung: Maha Bodhi Ta Htaung (Burmese: မဟာဗောဓိတထောင် , lit. ' a thousand great Bo trees') is a famous Buddhist region and monastery located in Monywa Township, Sagaing Region, Myanmar (Burma).  It is famous for the Giant Standing Buddha statue, the second tallest in the world, and for the Great Atitudes of U Narãda, who built the monastery.  This "Sāsana" (religious) site contains thousands of Buddha statues beneath thousands of Bo trees, the Giant Reclining Buddha Statue, Aung Sakkyā Stupa, and other large Buddha statues.  Currently, a Sitting Buddha Statue, which is expected to become the world's largest Sitting Buddha Statue, is in construction.  Many Buddhist monks can study the Buddhist "Pariyatti" literature at the monastery.  Moreover, meditation centres or Vipassãnā centres are opened at this monastic site both for monks and laypersons.

Crovan dynasty: The Crovan dynasty, from the late 11th century to the mid 13th century, was the ruling family of an insular kingdom known variously in secondary sources as the Kingdom of Mann, the Kingdom of the Isles, and the Kingdom of Mann and the Isles.  The eponymous founder of the dynasty was Godred Crovan, who appeared from obscurity in the late 11th century, before his takeover of the Isle of Man and Dublin.  The dynasty was of Gaelic-Scandinavian origin, possibly descending from a branch of the Uí Ímair, a dominate kindred in the Irish Sea region which first appears on record in the late 9th century.

Garsten Abbey: Garsten Abbey (German: "Stift Garsten" ) is a former Benedictine monastery located in Garsten near Steyr in Upper Austria.  Since 1851, the former monastery buildings have accommodated a prison.

Syrian Monastery, Egypt: The Syrian Monastery, (also known e.g. as Suryan Monastery, Deir el-Surian, Deir el-Syriani, or the monastery / church of Maria Deipara) is a Coptic Orthodox monastery located in Wadi El Natrun (the Nitrian Desert), Beheira Governorate, Egypt.  It is located about 500 meters northwest of the Monastery of Saint Pishoy.  Ecclesiastically, the monastery is dedicated to the Virgin Mary and carries her name; and in scholarly references from the nineteenth century, it is generally called the covenant/convent/monastery of St. Mary Deipara.  However, it is nowadays better known as the "Syrian Monastery" because it was mainly used by Syriac monks.

Nicholas de Meaux: Nicholas de Meaux, also known as Nicholas of Meaux, was a thirteenth-century Abbot of Furness and Bishop of the Isles.  In 1217, with the death of Nicholas, Bishop of the Isles (died 1217), two candidates vied for the vacant position: Nicholas and a certain Reginald (died c. 1226), who is described by the "Chronicle of Mann" as related to the ruling family of the Kingdom of the Isles.  Although the monks of Furness Abbey had elected Nicholas as Bishop of the Isles, as was their right, Nicholas received opposition from the ruling family of the Isles, and never occupied the see.

Furness Abbey: Furness Abbey, or St. Mary of Furness is a former monastery located in the northern outskirts of Barrow-in-Furness, Cumbria, England.  The abbey dates back to 1123 and was once the second-wealthiest and most powerful Cistercian monastery in the country, behind only Fountains Abbey in North Yorkshire.

Stuplje Monastery: The Stuplje Monastery () is a Serbian Orthodox monastery dedicated to Archangel Michael and located in the village of Gornji Vijačani near the town of Čelinac in north-western Republika Srpska, Bosnia and Herzegovina.  Folk tradition attributes the establishment of Stuplje to King Dragutin, a member of the Serbian Nemanjić dynasty, as is the case with other Serbian monasteries in northern Bosnia.  The earliest mention of Stuplje is found in a chronicle dated to the second half of the 15th century.  The monastery was probably founded before 1450, and thus before the Ottoman conquest of the Kingdom of Bosnia in 1463.  This conquest did not include north-western Bosnia, which then became part of the Kingdom of Hungary, to be conquered by the Ottomans in 1527 and 1528.  During the 17th century, the monks of Stuplje were active in transcribing religious books.  At some point during the Great Turkish War (1683–1699), the monastery was burned down by the Ottomans.  Surviving monks fled north across the Sava River and found refuge in the Orahovica Monastery in Slavonia.  They brought with them a number of their manuscript books, which thus became part of the Orahovica library.

Stella Maris Monastery: The Stella Maris Monastery (romana) or the Monastery of Our Lady of Mount Carmel for monks is a 19th-century Discalced Carmelite monastery located on the slopes of Mount Carmel in Haifa, Israel.  Another Carmelite monastery of the same name (Monastère Notre-Dame-du-Mont-Carmel in French) is reserved for nuns and is located higher up on Mount Carmel.

Supporting paragraphs: Nicholas de Meaux Furness Abbey
Answer: Furness Abbey