Herb Ely sent an email with a clue to the mystery of where Mary Elizabeth Bleecker was for a few years between 1900 and 1905. He passes along that he has "a Graduation Picture of my Grandmother, Mary Elizabeth Bleecker upon her Graduation from the School of Agriculture, University of Minnesota, 1905. If we are talking about the same person, it looks like she was "off to college". I wish I knew more than that."
Our thanks to Herb for the information.