OK - on to my vet, who sent me to a wildlife rescuer who told me they don't do that either and not to worry because she's seen a cat in a tree for ten days during a snow storm. Comforting.
I went to our SPCA who said cats don't die in trees and when she's hungry she'll come down. And while I do agree this is probably best advice, I couldn't much stand to see this little thing up there crying for what now was 3 days.
Our attempt to dislodge her wound up taking a limb down (she only scurried higher) and sent me to the hospital after the branch hit me square in face.
So my advice - don't try to get them yourself
Finally I found this website :Cat in a tree Emergency
Cory - the contact in my area couldn't be nicer. He is a professional tree climber and the way they get cats is to climb higher than the cat then come down from above. The cat will either run down the tree, or they catch it and put it in a carrier, or have people below with a blanket ready to catch the cat.
Hours before Cory came to the house, Baby did come down herself. For me, the three days of seeing her crying in the tree was worse than the bruises I got trying to get her down. Baby, by the way, was adopted from the Westchester SPCA, she is very shy and has found comfort hanging with and sleeping with my chickens.
As for the woman who told me about the cat in a tree for ten days during a snow storm, I say maybe being in the animal rescue business is not the right profession for you. And to Cory-- thank you for all that you do for cats stuck in a tree - you're a hero