I came across an article dated July 31, 1947. The article, "Herman Stanges Salute Golden Day with Open House," stated, Mrs. Stange was 14 years old when she, her father and her brothers moved to the States. They settled in Chicago where they lived about a year before moving to Forest Park." From this article, I now knew I had the correct Otto. The article did have some discrepancies:
1) Helena was 13 at the time of immigration, not 14 (information based on
the ship's manifest).
2) Helena and her brothers did not immigrate with their father (Otto was not
found on the manifest and only two of Helena's brothers came over in
1911).
The article does raise an opportunity for additional research. If the information in the article, that Otto and his three children who came over in 1892, originally settled in Chicago; is correct, there may be some Chicago records that have additional information.