Reddit reviews Dauntless Helldivers: A Dive-Bomber Pilot's Epic Story of the Carrier Battles

Harold Buell, a Dauntless/Helldiver pilot, was on the Saratoga and he liked to "count" Saratoga as being present at the battle because IIRC some of its air elements patrolled after the retreating Japanese. He was the author of "Dauntless Helldivers", which is a pretty good book. On a more trivial note, he's the grandfather of the actress Liv Tyler.

I guess you just bombed your target, or retreated if you needed to, and went back to the carrier. You can picked up the book for a couple of bucks used: https://www.amazon.com/Dauntless-Helldivers-Dive-Bomber-Carrier-Battles/dp/0517577941