Thank you for further information about your ancestor's arrival.
Is Maria's [Mary] arrival year same in 1920 and 1910 census?
Since she was underage than she did travel with either her father Janos or another family member. The 1930 census does not have a notation Na-naturalized; Al-alien or Pa-first paper for your ancestor?
Was the surname always SOROK/SORAK and never SOROKAC^?
I turned every which way with www.stevemorse.org