I'm afraid that you are misinterpreting the information on the manifest (https://www.familysearch.org/ark:/61903/1:1:JNX5-BTP ): the 1907+ manifests run two pages. On the first page of Chaje's manifest, column 12 is the name of the friend or relative back in the "old country" -- this is Schmuel MITSCHNER, still back in Elisavetgrad in 1923. The pre-1907 one-page manifests did not ask this question.
Column 19 on the second page indicates that Chaje is going to join her son-in-law, Emanuel RESNIKOFF at 2159 Morris Ave, NYC.
There are several records for Emanuel RESNIKOFF on FamilySearch, including a marriage record for Eleanor REED, who is the daughter of Emanuel RESNIKOFF and "Batrae DICKOFF" and is likely the granddaughter of Chaje DICKOVSKY.
HYMAN/HEYMAN/HEIMOWITS/CHAJMOVITS: Zemplen-Dobra, Hungary > New York
KLEIN: Satoraljaujhely (Ujhely), Hungary > New York > Los Angeles
KRONOWITH: Hungary > New York
OSEAS/OSIAS/OSIASI/OZIAS: Iasi, Romania > Chicago > Milwaukee > Los Angeles
SCHECHTER/SHEKTER: Kishinev, Bessarabia > New York
SHERMAN: Iasi, Romania > New York > Los Angeles
STRUL: Iasi, Romania > Haifa, Israel
WICHMAN: Syczkowo (Bobruisk), Belarus > Milwaukee > Los Angeles