Re: Help finding a naturalization in ED or SD NY for Sosche TOBIAS #usa
As you surmised, the 2 before the hyphen in the manifest notation indicates that Sosche filed for naturalization in New York. The number following the hyphen (122347) is the number for the Certificate of Arrival that was issued. Unfortunately, there is no index for these numbers, so, from a genealogical standpoint, the number is useless. The verification took place on 20 Feb 1943. I have seen the verification done anywhere from a year, up to a couple of weeks, before the Petition for Naturalization (and, in one odd case, even a couple of weeks afterward), with most about one month before the Petition.
In this case, I would search for a naturalization petition in New York around January, 1943. If you have access to Ancestry (your local library may be providing free remote access during the pandemic), I would take advantage of Ancestry's naturalization index collections -- they seem to have more extensive naturalization indexes than FamilySearch. Also remember that Ancestry databases usually reference the date that the Naturalization Certificate was issued, which is typically one year after the Petition is filed. Once you have identified potential candidates in an index, record the court location, document number and volume or date, then locate the actual documents on FamilySearch.
FamilySearch does have the actual naturalization documents for the Southern District as well as the Eastern District. The SD collection is located here: https://www.familysearch.org/search/catalog/51903
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