Johann Eggers was born in Meldorf, Schleswig-Holstein in 1805. He and his wife, Johanna Plett, had 5 kids, all born in Germany in the 1830s. The family immigrated in 1848 so are not likely to be closely related to your family. Of course, there may well be a connection farther back.
Clara Eggers was born in Manitowoc Co:Birth Date: 22 Sep 1860 Reel: 0113 Record: 001394 but I'm not yet sure if/how she fits in.