As found in Illinois, Deaths and Stillbirths, 1916-1947 records
name: Anthony Davidaitis titles and terms (original): death date: 31 Jan 1923 death place: Chicago, Cook, Illinois gender: Male marital status: race or color: age: 45 estimated birth year: 1878 birth date: birthplace: Lithuania father: Simon Davidaitis
father's titles and terms (original): father's birth place: Lithuania mother: Eva Keluti
mother's titles and terms (original): mother's birth place: Lithuania occupation: Tunnell Digger residence: street address: spouse: spouse's titles and terms (original): spouse's birthplace: burial date: 02 Feb 1923 burial place: St. Casimir cemetery: informant: additional relatives: digital folder number: 4204766 image number: 390 film number: 1877164 volume/page/certificate number: rn 2876
Note these are not arrival papers, this is a ship manifest which was created at the Port of Depature, Rotterdam in this case, from a passport which was issued in Russia.The manifest does NOT indicate that he had been in the US several times, it inicates he had been in the US from 1905-1913 at Pittsburg PASo as you can see there was NO spelling done of any names at Ellis Island.
The list their former residence as Spestveu or Spestven, Kownno. But I have no idea where this is located within the Kowno municipality.
Yes it matters in re to spellings that Lithuania was part of Russia at the time and had been for many, many years part of the Polish Empire.
Using Stephen Morse One Step Ellis Island search sounds like also finds the spelling DAWIDAITIS
In any case records should be found in Lithuania, so you will want to post to the Lithuania board.I would suggest Ancestry.com boards vs Genforum, as they are much more active.
Googling Lithuania Genealogy I found the web page below! You will find a contact for your surname on that web page.