I'm not sure if the other tree here is yours? It's under a different user name...?
Have you looked at the original ship manifest for their arrival at Ellis Island? On that it looks as if Antonina's brother was Yozef Laurinovik in Wersa - Kowno. (It's difficult to read, so don't rely on my deciphering skills!)
The family is going to join her husband (children's father) in Trenton, NJ. (more deciphering to be done.)
Take a look -- There are TWO pages to the manifest. The first one that comes up is actually page two and you need to click back to page one.