I think I found them on the 1920 census in Chicago, recorded as Anthony Rejanskas 47 LT, Mary 38 LT, Stanley 21 LT, all three say arrived 1901, Michael 10, Annie 8, Frances 7, Stella 1, all born IL.
I did not find their original arrival, but found a return trip 7/14/1908, recorded as Marga (Marya)Rajauckeur 24, with son Stanislaw 6, going to her husband Antoni Rajewsky? in Chicago, coming from her brother Ignacy Lorecy? in Olita. She says they arrived before in 1903 to Chicago.