Anna is the daughter of Israel Szuch and Tova Leah [maiden name not known]. She is the sister of Zalman Szuch and Sarah Szuch.
Fannie is in this picture with her sister, Sarah, and husband and brother-in-law. This is a photo of Harry and Fannie.
This is a photo of their whole family. It includes the children's names, as well as married names.
Arrival Dec 10, 1910 on the Lapland out of Antwerp. Last place of residence: Tzwitze, Russia. Listed as Russian, Hebrew. Name on manifest: Chaie Flug aged 32 
It may be possible to confirm family relationships with Anna by comparing test results with other carriers of her mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share DNA with Anna:
The Ellis Island document has an extra child, but the age indicated makes it unclear which of two children is one of the attributed children above. Someone with more Polish or Jewish name experience needs to look into this.