This is taken directly from the Iman Family Notes page:

The Eymann name has been traced back to around 80 A.D. According to one line of thought, a highly placed German family chose not to live with the social norms of court life and took a name to symbolize independence, as in "1-man". Those with an understanding of the old German language say "not!". Eyman symbolizes the meadow flowers appearing in the historical family crest; an "Ey" representing meadowland along a stream. A farm thought to be the original land of Eymans exists in the Alfausen area of Germany. In the 1500s or so sons are said to have taken to the winds to develop branches of the family in Russia, Sweden, Brazil, and Switzerland. Our branch comes from those Germans who for some reason moved to live near Bern in Switzerland.

When I started looking at my Eyman line, I could only trace back to Daniel Eyman in Bond Co, Illinois - I also knew from my father's records, that his father was Abraham. Recently I have found in Torsten Eymann's database that he linked me back another generation to yet another Abraham Eyman in Pennsylvania. A lot of work has gone into trying to prove a link from Abraham in PA to Europe, and apparently the results are not yet conclusive. Here is my line:

Abraham Eyman [Ancestors #8941][Torsten Database]

Daniel Eyman [Ancestors #8933][Torsten Database]

Jacob Marion Eyman [Ancestors #8937][Torsten Database]

Dora May Eyman [Ancestors #9012][Torsten Database]