Hi - here are some links re the family.
This link, below, shows how Sine/Signe is in Denmark as of 1890 census, married to Hans Rasmussen.
Maribo, Lollands Nørre, Sandby, Sandby sogn og by, , 198, FT-1890, C7815
Hans Rasmussen 48 ?? Gift Husfader Snedker Lillebrænde sogn, Maribo amt
Signe Jensen 48 Gift Husmoder born in Kjøbelev sogn, Maribo amt
Jens Clausen 79 Enkemand Svigerfader Aftægt Vindeby sogn, Maribo amt [= widower, father-in-law, dependent on them]
This link, below, has a well-developed family tree that you can reference next time you have a question, "Jacobson / Johnson Ancestors & Cousins" on RootsWeb. In addition to working with this forum, you could also contact the creator of the tree. He may have developed information additional to what is posted.
In case this helps, I'll mention that you can check Minnesota marriages here at Minnesota Official Marriage System (MOMS).
Minnesota Historical Society has an online of archive of births and deaths.
I did find Lars Christensen family in Minnesota State Census, living in Owatonna, Steele, Minnesota - a larger town that is near Blooming Prairie. In case you are unfamiliar, find it at Minnesota Historical Society under "Family History" menu.
The Dalby Database is an extraordinary resource that applies to the area of Minnesota where your family lived. Well worth exploring. Here on this link, below, you find Nis Peter Thimsen burial information (03/JUN/1840 - 03/MAR/1915) and a reference to his status as a Civil war veteran ("VET. CO K 2 MN CAV.") and to his spouse ("SP. HANNAH JENSEN).
Another resource for you to find others who may have immigrated to USA is Family Search - and indeed you may already be using that resource. It's an obvious one, but I mention it because the family seems to have grouped together in USA, and may be more easily located there than in Denmark (if they immigrated). Ignore the comment if you've already thoroughly tried this!
You found a possible Jorgine Jensen in the US census and asked if it could be the right Jorgine. The link you posted does not work for those who do not have an Ancestry.com membership. Do you want to transcribe that census and post it?
None of the above is intended to replace help in this thread and other threads. Just thought some of that might be new options for you.