Dear Mr. Robinson,
Thank you for posting your request on History Hub!
We are unaware of a listing of all Naval personnel who served in 1935 with the last name Robinson. We suggest that you request a copy of his Official Military Personnel File (OMPF). OMPFs and medical records of enlisted men of the U.S. Navy who were separated from the service after 1885 and prior to 1955 are located at NARA’s National Personnel Records Center (NPRC), (Military Personnel Records), 1 Archives Drive, St. Louis, MO 63138-1002. To request these records, please mail a completed GSA Standard Form 180 to NPRC and provide as much information as possible.
Once you know what ship he served on, please contact the the National Archives at Washington, DC - Textual Reference (RDT1) via email at email@example.com for Logbooks of U.S. Navy Ships, 1801-1940 in the Records of the Bureau of Naval Personnel (Record Group 24).
We hope this is helpful.