Homestead files are searched to determine if our families settled on farms and if so, where they settled. We are looking for Thorsteinn Hojgaard and Grimur Einarsson.
National Archives of Canada is searched for the name Hojgaard and spelling variations like Hejgaard, Hajgaard, Heygaard, and Hygaard. No entries are found. The same search is performed for Einarsson and Einarson. A total of 83 entries are found, but none of them is named Grimur. From this we conclude that they either did not settle in Canada or did not take up farming.

Bureau of Land Management in the United States is searched for the same names in Minnesota and North Dakota. The search in Minnesota finds no variations of Hojgaard and four Einarsons who are not named Grimur. The search in North Dakota finds one Hygaard with the wrong first name. A search for Einarsson finds 13 Einarssons, one of which is named Grimur. It shows that a land patent was issued on May 2, 1890. The details are shown below.



The Federal Township and Range System explains the notation of the land survey.
The Pembina Township Map shows that Township 159-N Range 56-W is Gardar Township. We can then go to Plat Maps of Pembina in 1893 to select the Plat Map of Gardar Township and see where the land is located.
From this information, we conclude that we should look at Saga Islendinga i Nordur-Dakota by Thorstina Jackson Walters for more information.