According to the ship's list Thille arrived in New York on the 23 Feb 1905 and was going to his uncle in Minneapolis, Minnesota. On the 1910 Census and US City Directory he was living in Duluth, Minnesota. On the 1911 and 1913 US City Directories he was living in Fargo, North Dakota. His occupation throughout is given as Baker.
According to his declaration of intent he married Rose on the 18 Dec 1917 in Los Angeles, California. He indicates in 1929 that he has one child, Raynar, who is living with him. Thille and Rose are noted on the 1920, 1930 and 1940 US Census in Los Angeles, California.
On Rose's Petition for Naturalization in 1930 she lists her last name on arrival in the US was Maxonovitz. Another copy of the form in 1931 indicates that Thille had been previously divorced. One copy shows her picture. Rose indicates she has no children.
The Naturalization records have quite a bit of information about the applicant including birth dates and places etc.
Hope this helps.