Don't know of a unit history either, but if Corsairs are your thing, then I highly recommend a 3-DVD set called
F4U Corsair by Aircraft Films
http://www.aircraftfilms.com/f4ucorsair.htm This is a compilation of about 6 hours of Corsairs from WWII to Korea, much of it in color, lots of carrier landing sequences (and some crashes), in-flight formations, lot of taxiing and takeoffs from various bases. It has about 8 minutes of footage of VMF-213 on Henderson Field in June 1943, showing gun harmonizing, engine maintenance, pilots walking by the camera & looking at roster board, fly-bys, and propellor maintenance. Great stuff.