Have a look at the 1870 Federal Census of Eaton Township at www.2manitowoc.com
. It will give you some info on the children's birthplaces and their aprox. year of birth.
Ambrose Schwab married Annie Kautzer (not Kauza) at St. Nazianz 2 July 1889. Her father, Matthias Kautzer, was born abt 1838 in Prussia and died 21 November 1886 at St.Nazianz. Her mother is called Luise, born abt 1837 in Saxony.
Hope this will help you in your search.