Hello Cousin!
Your Great Grandmother Guri was a sister to my Great Grandmother Ida. As far as more info on Ole and Inger from the 1880 census and naming you can deduce several things.

1. Ole parents were Haldor and Guri Rear
They all lived in Chippewa county, at least for a while.
2. Inger's Father was Iver Kalden

An interesting note my Grandmother(daughter of Ida) had no knowledge of the oldest 3 children Guri, Halvor and Mary Berte. She also never even knew her Grandparents Names (Ole and Inger). She knew the rest of her Aunts and Uncles quite well. They would not talk about these family members or had no knowledge themselfs. This is a mystery ???