What is the setting for On the Banks of Plum Creek by Laura Ingalls Wilder?

The Banks of Plum Creek is set in
Minnesota near a town called Pepin in in the mid-1800s.  It is about a family of
pioneers who move from Kansas to be homesteaders, so there are not many towns or cities
near Plum Creek.  The family lives in a dugout, and the children attend school in
Pepin.  Since Laura is 4 in this book, the story takes place in about 1872.  As in the
other books in the series, the family lives off the untamed land.  Conditions were harsh
for pioneer settlers, but at least at this time in her life Laura lived near a town and
was able to attend school.