Dear Mr. Findling,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the United States Consular Records for Stuttgart, Germany, 1853 - 1922 and the Classified General Records, 1946 -1961 in the Records of the Foreign Service Posts of the Department of State (Record Group 84) but were unable to locate consulate records in Stuttgart for that time period. Unfortunately when the consulate closed, the staff probably burned the records for security purposes.
If Ms. Gottesdiener was able to obtain a visa to the United States, her case file may be located in the series Visa Case Files, 1914 - 1940 in the General Records of the Department of State (Record Group 59). In addition, we located the series General Visa Correspondence, 1914 - 1949 and the series Name Index, 1910 - 1973 to the series Central Decimal Files, 1910-1963 in Record Group 59 that may contain additional resources. For more information about these records, please contact the National Archives at College Park - Textual Reference (RDT2) via email at firstname.lastname@example.org.
If she had relatives or friends in the US who attempted to help her acquire a visa, there is a slight chance that the series Subject and Policy Files, 1906 - 1957 in the Records of the Immigration and Naturalization Service (Record Group 85) may include correspondence regarding the matter. The series is partially indexed by the Subject Index to Correspondence and Case Files, 1903 - 3/31/1957 (T458) in Record Group 85. For more information about these records, please contact the National Archives at Washington, DC - Textual Reference (RDT1) at email@example.com.
T458 is available online via Ancestry.com. There may be a fee for using this service. Instead, please check for access at your local library as many library systems subscribe to these sites, making them free for their patrons. Also, some of the images from Ancestry are available for free on FamilySearch.
Due to the COVID-19 pandemic and pursuant to guidance received from the Office of Management and Budget (OMB), NARA has adjusted its normal operations to balance the need of completing its mission-critical work while also adhering to the recommended social distancing for the safety of NARA staff. As a result of this re-prioritization of activities, you may experience a delay in receiving an initial acknowledgement as well as a substantive response to your reference request from RDT2 and RDT1. We apologize for this inconvenience and appreciate your understanding and patience.
If you have not already consulted it, the United States Holocaust Memorial Museum also provides information regarding the U.S. visa application process during this time period on their webpage What did Refugees Need to Obtain a US Visa in the 1930s?. You may be interested in the additional resources on their webpages such as Resources on Survivors and Victims and Research Services. We searched the Holocaust Survivors and Victims Database and located a digitized photograph and transportation list regarding Etla Gottesdiener digitized from the holdings of the State Archives of Belgium by the Kazerne Dossin Memorial, Museum, and Research Centre on the Holocaust and Human Rights.
We hope this is helpful. Best of luck with your family research!