In the 1881 City Directory they have a section that lists the people who were in the 1859 City Directory and are still in the area and in the 1881 City Directory.
1881 Minneapolis City Directory: the link will take you to the book and you can find this page if you scroll down to 52 and then to the second part of the list a couple of pages after some advertisements.
I also posted the link to the 1881 City Directory in the Minnesota, Hennepin county message board on Ancestry dot com. It used to be RootsWeb message board.
Message Board posting:
http://boards.ancestry.com/localities.northam.usa.states.minnesota.counties.hennepin/5562/mb.ashx
How I got this City Directory Information Dec 2016:
Debbie sent this link to Joette who sent it to me.
Digitized Minneapolis City Directories 1859-1917 Online
The Hennepin County Library in Minneapolis has digitized the Minneapolis City Directories from 1859 to 1917, using a grant from the former Professional Librarians Union of Minneapolis (PLUM) and the Minnesota Legacy Amendment program. City directories allow users to find former city residents, their occupations and local businesses. The city directories are available at http://box2.nmtvault.com/Hennepin2/.
Images are available of each year’s directory. The text has apparently also been converted
by an OCR (optical character recognition) process. You can search for any words in the directories by clicking on SIMPLE SEARCH. Details about the optimum method of using the search software may be found at http://box2.nmtvault.com/Hennepin2/help/ResCartaWeb.htm.
Genealogical Collection 
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