I found two "Kadow" families that have a daughter named Mini.

1880 ILL Census

Frederic Kadow 1840 Husband
Dorothy Kadow 1838 Wife
Fred Kadow 1864 Son (married Clara Mueller)
DOD - Jan 1923 -WA
Rachel Kadow 1866 Daughter
Mini Kadow 1867 Daughter


1990 Census Ill
Fred
Martha
Wm J.
Minnie L - Sept 1896
Annie
Fred Jr
Walter
Freida

Mystery - Which one is Mini Arndt?