Upon further inspection of the original in the book, I believe it is SS 368, which would make it the Jallao. Nice spot on the number.Once you pointed it out I was able to decipher it. Also the "J" at the beginning makes it even more likely. The ice cream is a dead give away that she was a Balao class sub with an ice cream machine like the one in the Batfish. The patrol dates match too.
First patrol, October – December 1944
Following additional training the submarine sailed 9 October for her first war patrol, operating with Pintado (SS-387) and Atule (SS-403) in a coordinated attack group known as "Clarey's Crushers". At first the submarines proceeded toward Luzon Strait; but, during the Battle of Leyte Gulf late in October, they were directed to take up scouting positions between the Philippines and Japan to cut off Japanese cripples struggling home after their devastating defeat at the Battle off Cape Engaño. On the evening of 25 October Jallao contacted damaged light cruiser Tama and moved to attack. She fired seven torpedoes; three hit and sent the Japanese warship to the bottom. After this notable success on her maiden patrol, Jallao continued her search until 28 November, returning to Majuro 10 December.
I am sure you will enjoy the book and hope you will try some of the "cut down to family size" recipes. James Bauman's Braised Beef is quite good.Bill Benzick's Fried Chicken, Maryland Style is next on my list.
Dave