Credit: Albertina, Vienna
An article regarding emigration from Schleswig-Holstein can be found at this link: https://geschichte-s-h.de/sh-von-a-bis-z/a/auswanderung/
Thousands of emigrants have been extracted and have been alphabetically arranged at this site: http://rootdigger.de/
Many emigrants from Schleswig-Holstein emigrated from the port of Hamburg, Germany. Hamburg lists are available on $Ancestry.com.
See lists of emigrants from Dithmarschen areas at this link
Link to emigrants in several Schleswig-Holstein databases: Genealogy-sh.com
Emigrants from Kreis Eutin can be found at this link: https://sites.google.com/site/ahnensucheimamteutin/auswanderung-nach-amerika
Emigrants from Schottsbull can be found on Family History Library film 515586.
Hans Christensen Petersen born 23 November 1782 emigrated to America in 1806-1807. His half-brother Claus Christensen in Sundsmark mentions his in his estate. Schleswig-Holsteinische Anzeigen 1841.
Lists of emigrants and other items regarding Schleswig-Holstein available from Voss: http://www.genealogy-sh.de/deu/index.htm
Emigration lists: http://genealogy-sh.com/
Emigration Bibliography by Thimm: https://vereine.genealogy.net/GGHH/download-dateien/LiteraturAuswanderung.pdf