I see some similarities to Marianne's family in the family found by Thomas Vikander. The match isn't perfect but censuses in countries such as Canada and the U.S. were not made from the parish records and suffer from poor spellings, enumerators hearing the replies incorrectly, etc.
The transcription contains some question marks, so I think the writing must not be easy to read, and if someone familiar with Swedish names read it, perhaps it would be closer to the real names. It's worth using the index to look at the actual censuses, which can be found at this site.
http://www.collectionscanada.ca/archivianet/1911/index-e.html I would not overlook the possibility that the family ended up in Alberta. Alberta and Saskatchewan are both in the western part of Canada, and both had homesteading for land. I don't see the father listed on the homesteading database, however.
From that index:
30 310 Fogelquist August M Head M Mar 1876 35 1901
31 310 Fogelquist Harme? F Wife M Nov 1874 38 1901
32 310 Fogelquist ?erline F Daughter S Nov 1898 11 1901
33 310 Fogelquist David M Son S Dec 1904 6 1901
34 310 Fogelquist Lena F Daughter S Nov 1906 4 1901
August was listed as being born November 1874 as Marianne said he was. The wife has a different name (so that is not good) The first child had a different name (another bad sign) but was born in November (good!) and only one year different than the information which Marianne provided. (Perhaps there was a slight mistake by someone in remembering the year she was born.) The boy David was listed as being born in 1904, which fits. Lena (perhaps a nickname for Linnea) was born in 1906, which also fits. The match is not perfect but there are some interesting similarities.
I have found a few of my relatives in places I never expected to find them, so it is worthwhile spreading a wider net, while not ignoring that they might have remained in Moose Jaw.
Judy