I don’t know the ship....would it be on the Certificate all got when they crossed the Equator? I have that. I’ll have to find it. Thanks for all your info.
Think I found the ship...General H. L. Scott...now not sure he was in Leyte....(My great Uncle -his Uncle- told me he was)
Your quest has weighed on my mind.
I checked to be sure, and there were on the order of 300 US Navy ships involved in the several units fighting the battle. Knowing your father’s ship will allow your to find which of the various naval task groups he participated. Knowing the task group, you can get much closer to finding out how he participated.
Here is the Wikipedia article listing the various naval task groups participating in the battle.
https://en.wikipedia.org/wiki/Battle_of_Leyte_Gulf
Your quest is a very worthwhile endeavor