"Ludwig (1851-1926) Paulina (Czarkowski) (1853-1935) Freitag immigrated to
the US in 1882 ... They settled in Milwaukee, and had 11 children total. ... Looking for connections with any extended family."
There are 250+ Freitag / Freytag entries and references found in "Milwaukee's German Newspapers; an index of death notices and related items" (1844-1950). I scanned though the entries for references to those children's names you listed in case their parents place death notices for them. I found a Ludwig and Dorothea Freitag in the area prior to your ancestors arriving and they published notices in these papers for their children.
Concerning extended family request in your posting, these Freitag families also reference surnames like Gross Voss Hertziger Luedke Luedtke Zielesch Westphal Schmidt Herr Klaufer Kopps Bartsch Gartzke Hammer Hartung Weins Jungmann Manske Martschinke Roese Röse Stöckmann Stoeckmann Wesenberg Zielesch Buening Dieckmann Doerr.
Some place names referenced are Limbach (Schönbronn, Bavaria), Stuttgart, Stavenhagen, Lübeck, Eschollbruecken, Markelsheim, Mergentheim, Mehrstetten, and Wörrstadt.