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We searched the National Archives Catalog and located the Logbooks of U.S. Navy Ships and Stations, 1941 - 1983 in the Records of the Bureau of Naval Personnel (Record Group 24) that include the deck logs of the USS Alvin C Cockrell (DE-366) from its commissioning on 10 January 1942 through its decommissioning on 4 November 1946. For more information, please contact the National Archives at College Park - Textual Reference (RDT2) via email at email@example.com.
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We also located World War II War Diaries, Other Operational Records and Histories, ca. 1/1/1942 - ca. 6/1/1946 in the Records of the Office of the Chief of Naval Operations (Record Group 38) that contains war diaries and reports concerning the USS Alvin C. Cockrell’s activities during World War II. These records have been digitized and may be viewed online through the Catalog. Please keep in mind that the Catalog does not always list files in chronological order.
We hope this is helpful. Best of luck with your research!