Dear Mr. Tuzzio,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the Muster Rolls and Personnel Diaries of U.S. Navy Ships, Stations, and Other Naval Activities, 1/1/1949 - 12/31/1971 in the Records of the Bureau of Naval Personnel (Record Group 24) that may include the muster rolls of the USS Henrico (APA-45) for 1965 and 1966. While some of these records have been digitized, the muster rolls for the USS Henrico have not. For more information about the non-digitized records, please contact the National Archives at College Park - Textual Reference (RDT2) via email at email@example.com.
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We hope this is helpful. Best of luck with your research!