I have not yet found the arrival records for any of these people, but have found what I believe will be helpful records regarding Janos (John) and Teresa Bors.
In 1918 John, like all men his age in the US, registered for the WWI draft. Note his date of birth and that he had declared his intention to become a citizen, but at the time was not naturalized.
In the 1920 US Census, the family surname is misspelled as Bosh. In the census it states that John and Teresa were naturalized in 1916, but from his draft card we know that he had only filed his Declaration of Intention. Note that Teresa came to the US in 1896 and John in 1902, which would mean that they married in the US. Based on the birth place of their 1st three children (New Jersey), one would assume they married in New Jersey.
John died 12 Jul 1920.
His wife filed probate and guardianship papers in February 1921.
Great! Thank you so much Susannah
John filed his Declaration of Intention on 18 Nov 1918 https://www.familysearch.org/ark:/61903/3:1:3QS7-89ZX-7499?i=427&cc=1935519&cat=2177241
I did not find a petition for naturalization for him in the index of either the Jefferson Co, OH Probate Court or the Jefferson Co, OH Court of Common Pleas.
Janos arrived at the port of Baltimore on 30 May 1903 on the SS Cassel. He was headed to his brother in Jefferson Co, OH. He is #27 on the list.