No one said it was written in Wisconsin. University of Wisconsin is just who digitized a collection of papers from the estate of the composer J.P. Webster. But yes, the sheet music was published in Chicago. In fact, that's why the sheet music has been so hard to find: the publisher's offices and warehouse were burned in the great Chicago fire. The copy I obtained is from a "pre-fire Chicago" collection at Stanford. Here's the info so you can get your own copy:

William R. and Louise Fielder Sheet Music Collection
Special Collections M701
Box 38, Folder 4
I'll twine Ômid the ringlets Chicago :H. M. Higgins,1860 [sic]

Contact: Stanford University,
Manuscripts Division of the Department of Special Collections
email: speccollref "at" stanford.edu
subject: Request for duplication services