Thanks so much for the responses. You are right that I should use the proper spelling of the name Schroeder. In answer to the question of where I learned that they arrived on the ship Rhein in NYC on June 21, 1873...I learned this from Volume 30, Page 91, of "Germans to America" in the Omaha Public Library, in April 1996.
The Rhein passenger list recorded the following:
Victor Schroeder, age 48, male, farmer
Sofie Schroeder, age 49, female, unknown occupation
Marie Schroeder, Age 19, female, farmer
Sofie Schroeder, age 16, female, farmer
Dorothea Schroeder, age 13, female, farmer
Anna Schroeder, age 10, female, unknown occupation
Heinrich Schroeder, age 7, male, child
Marie was my grandmother who married Johann Friedrich Joachim Wulf and raised six sons and two daughters. Their first child was born in a "dugout" on the land my grandfather had homesteaded in 1869. My father was the second to the last child and I never knew either of my grandparents.
The Victor Schroeder family included the oldest son, Frederick, born Dec. 10, 1850, who came to America in 1872 and worked on the railroad before the rest of the family arrived.
I'm happy to know there are still Schroeders listed in the telephone directory in Germany. I know it's a very common name.
I do appreciate the sleuthing you have done and if we can together discover where this family originated I would feel blessed indeed.
Peggy Schmidt