What happened to the crew of the Princeton CVL-23

When the Princeton was sunk during the battle of Leyte Gulf where did the survivors end up? Could they have ended up in Australia on R & R?.
Family speak of a William Schmidt in Brisbane in 1945.Information I received ,William C Schmidt on board US Navy Aircraft carrier, USS Princeton, #Cvl-23 on the muster roll dated 20th Sep 1943.
Much obliged for anymore information

Bob

 

Loss of USS Princeton, 24 October 1944
list the following ships as helping with damage control:

USS Morrison (DD-560 - Wikipedia, the free encyclopedia)
list Morrison as picking up about 400 survivors
it further states that

Similarly from: USS Irwin (DD-794 - Wikipedia, the free encyclopedia)
Irwin

Reno apparently didn't have many survivors on board and took longer to reach Ulithi according to:

As for Birmingham:
USS Birmingham (CL-62 - Wikipedia, the free encyclopedia)

Not sure this helps much as far as info on them being in Australia however. Here's the Wiki page on her not sure it helps much more though.
USS Princeton (CVL-23 - Wikipedia, the free encyclopedia)
Here's a page on a survivors reunion
Princeton Sailors Remember Those Who Came Before

 

I may not be finding what I am looking for but sure learning a lot on WW2 I didn't know about.