Hamburg Passengers lists for 1850-1934 are available on Ancestry.com$ or on microfilm at the Family History Library. They are indexed for the years: 1850 to 1914 and 1920 to 1923. For other years you will need to use the handwritten indexes available on Ancestry or on microfilm in the Family History Library.
See also "Canada - Quebec" on this site.
List of Passengers on the Hamburg ship "Cimbria" sailed from Hamburg to New York 17 January 1883. https://www2.landesarchiv-bw.de/ofs21/suche/ergebnis1.php. List of persons aboard the ill-fated ship. Names of those rescued Places of origin for all passengers. [This list is not included on Ancestry.com].