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Do an internet search of the ship name there are various websites with information and crew lists. Midway was deployed to Far East In late 1959. Had a fire in the Philippines Nov 1959 and returned to Alameda, CA USA by March of 1960. Look for Veterans and reunion websites.
There are Cruise Books online and for sale.
In 1940 census age 3 with brother age 2 in parents household living in Naples, Ontario County, NY.
Did a quick Google search of ....1960 Norman Fox lost at sea... And found this newspaper article with basically the whole story and his obit.
http://fultonhistory.com/Newspaper%2013/Naples%20NY%20Record...