I found a 1910 Census that shows Carl Arendt as father and Elizabeth as mother in Iowa - Plymouth - Grant - District 0109
Carl - 44
Elizabeth 33
Mary 16
Sophia 12
Louisa 10
Ida 6
Bertha 3
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also found information that showed that Mary was born March 7, 1895 and married a Binneboese.
Louise was born February 17, 1900 and married a Kruse.
Sophia was born July 22, 1897 and married a Zieger
Ida was born October 2, 1903 and married a Peterson
and the only thing I could find on Bertha was that she was born in 1907.
I hope this is who you are looking for.
I love your picture, by the way.