my friend had a cat born on Halloween named Spooky. that was the coolest thing ever
We had a foster kitten we named... name it, like a week or so but the sooner you give it a name the better chance you'll have of them responding to it :)...
I have to say PLEASE dont leave your cat up the tree!!
My sister lost her cat and some neighbors found it up a HUGE... for you I would say call the Fire department, hopefully they can at least point you in the right direction.