Have you considered or contacted the church the KOLESAR children were baptized in? Would the church put down parents place of birth on the baptismal record.
From the 1915 census that JPmiaou found.
Household Role Sex Age Birthplace
Michal Kolsasor Male New York [age
Julia Kolsasor Female New Jersey
Mary Kolsasor Female New Jersey
Annie Kolsasor Female New Jersey
John Kolsasor Male New Jersey
Image of Mary Kolsasor in household of John Kolsasor, New Jersey State Census, 1915.