Dear Mr. Webb,
Thank you for posting your request on History Hub!
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 Josephus Daniels (DLG-27) from its commissioning on 8 May 1965 through its reclassification to CG-27 on 30 June 1975. The series also includes records of the USS Josephus Daniels (CG-27) from July 1975 through December 1983. For access to and/or copies of these records, please contact the National Archives at College Park - Textual Reference (RDT2) via email at firstname.lastname@example.org. Please be as specific as possible about the dates you need.
For access to U.S. Navy deck logs dated after 1983, please write to the Ships Deck Logs Section, Naval History and Heritage Command, 805 Kidder Breese Street, SE, Washington Navy Yard, Washington, DC 20374-5060 or via email at email@example.com.
We hope this information is helpful. Best of luck with your research!