A mansion called Langskaill was built on the site of Sweyn's estate in the seventeenth century by a wealthy merchant, Sir William Craigie, who lived there with his wife Margaret Honyman, daughter of the Bishop of Orkney.
He was a member of Parliament and died in Edinburgh in 1712.

According to census records, in 1831 there were 69 people living on Gairsay, and 71 people in fifteen families in 1841.
In the 1841 census it was stated that: "The island used to be noted for the quantity of kelp made on it.
None has for some years been made on it."
In 1851 there were only 41 people in six families living on the island.
Ten years later the population was down to 34 people in only five families.
By 1881 that number was 37 people in only four families.
In recent years the island was owned by one family, named McGill, who purchased the island in 1968 and now farm it and who issue their own postage stamps.
Gairsay is one of the few Scottish islands permitted to do this due to the lack of a Royal Mail service.

The following are passages from 19th century Scottish gazetteers about the island of Gairsay.
According to the 1840 Topographical Gazetteer of Scotland:
"GAIRSA (sic), one of the Orkneys, constituting part of the parish of Rendal (sic), from which it is separated by a strait about 1½ mile broad.
This island is about 2 miles long, and 1 broad; the greater part of it consists of a conical hill of considerable altitude.
The whole of its west side is steep; but towards the east, it is both plain and fertile; and in that quarter, as well as on the south, the lands are well-cultivated.
It contained 69 inhabitants in 1838.
Close by the south shore stand the remains of an old house which seems formerly to have possessed some degree of elegance and strength, and was the residence of Sir William Craigie, and others of that name and family.
Here is a small harbour, called the Mill-burn, perfectly secured on all sides by the island itself; and a small holm, which covers the entrance to the south, leaving a passage on each side of it to the anchoring ground."

Samuel Lewis's 1846 Topographical dictionary of Scotland made very similar observations:
"GAIRSAY, an island, in the parish of Evie and Rendall, county of Orkney; containing 71 inhabitants.
This is an isle of the Orkney group, about four miles (six km) in circuit, and separated by a strait from Rendall.
It consists chiefly of a conical hill of considerable altitude; the whole of the west side is pretty steep, but towards the east it is more level and fertile, and in this quarter, and in the south, the lands are tolerably well cultivated.
Here is a small harbour called the Mill-Burn, perfectly secured on all sides by the island itself, and by a holm, which covers the entrance to the south, leaving a passage on each side of it to the anchoring ground."
A mansion called Langskaill was built on the site of Sweyn's estate in the seventeenth century by a wealthy merchant, Sir William Craigie, who lived there with his wife Margaret Honyman, daughter of the Bishop of Orkney. He was a member of Parliament and died in Edinburgh in 1712.
According to census records, in 1831 there were 69 people living on Gairsay, and 71 people in fifteen families in 1841. In the 1841 census it was stated that: "The island used to be noted for the quantity of kelp made on it. None has for some years been made on it." In 1851 there were only 41 people in six families living on the island. Ten years later the population was down to 34 people in only five families. By 1881 that number was 37 people in only four families. In recent years the island was owned by one family, named McGill, who purchased the island in 1968 and now farm it and who issue their own postage stamps. Gairsay is one of the few Scottish islands permitted to do this due to the lack of a Royal Mail service.
The following are passages from 19th century Scottish gazetteers about the island of Gairsay. According to the 1840 Topographical Gazetteer of Scotland:
"GAIRSA (sic), one of the Orkneys, constituting part of the parish of Rendal (sic), from which it is separated by a strait about 1½ mile broad. This island is about 2 miles long, and 1 broad; the greater part of it consists of a conical hill of considerable altitude. The whole of its west side is steep; but towards the east, it is both plain and fertile; and in that quarter, as well as on the south, the lands are well-cultivated. It contained 69 inhabitants in 1838. Close by the south shore stand the remains of an old house which seems formerly to have possessed some degree of elegance and strength, and was the residence of Sir William Craigie, and others of that name and family. Here is a small harbour, called the Mill-burn, perfectly secured on all sides by the island itself; and a small holm, which covers the entrance to the south, leaving a passage on each side of it to the anchoring ground."
Samuel Lewis's 1846 Topographical dictionary of Scotland made very similar observations:
"GAIRSAY, an island, in the parish of Evie and Rendall, county of Orkney; containing 71 inhabitants. This is an isle of the Orkney group, about four miles (six km) in circuit, and separated by a strait from Rendall. It consists chiefly of a conical hill of considerable altitude; the whole of the west side is pretty steep, but towards the east it is more level and fertile, and in this quarter, and in the south, the lands are tolerably well cultivated. Here is a small harbour called the Mill-Burn, perfectly secured on all sides by the island itself, and by a holm, which covers the entrance to the south, leaving a passage on each side of it to the anchoring ground."
Gairsay