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This article appeared in the "Frady Family Archives Newsletters", Vol 1, No 1. H. Frady is listed in the 1870 Dayton Township, Webster County, Iowa, 46 years old, occupation farmer, born in Germany. His wife, M. Frady, 35 years old, is also born in Germany. The older children are born in Illinois, and the younger ones in Iowa. A son, William, is listed as age 14.
The mystery of who this family were is now solved by the wonders of the Internet. I found these listings: Henry Wrede, Wrede & Vredy, and Wm Wrede, in the Iowa Farmers Directory, published in 1892, living in Dayton Township, Webster County, Iowa. H. Frady was Henry Wrede. The mystery the identity of H. Frady was heightened by the fact that there were relatives of William Frady who migrated to Indiana from NC, and later moved to Iowa, was living in Iowa at the same time.
This is further proof to me that the Frady name originally was "Wrede". The two names, Wrede and Frady, sound very much alike. The 1856 Iowa State Census lists William Frady with a father of foreign birth.