In his "petition for naturalization", It clearly says that he arrived in 1906, and that Rebecca was born in 1905. Uncle Ben told us that Max's wife Esther was pregnant with Rebecca when Esther came here from Russia. Therefore, some of us (me included) have concluded that Esther made the Atlantic crossing to the US alone, and that Max followed later. Knowing Esther as we did, that was in her capability.17

Reference for Wilenko from Shetl Seeker
http://data.jewishgen.org/wconnect/wc.dll?jg~jgsys~shtetm~-1941165