I haven't had to fish them out of trees yet, but when I move them around inside my coop -- getting them off the nestbox landing perch or the top of the broody breaker and onto the perches -- I use the same technique to get them onto my hand. Much less flapping and protesting than when I was...
This is one way of dealing with it.
Since Cochins are big girls I wonder if she is capable of flying up to the roost? I had a Brahma who, once she was full grown, couldn't clear more than about 18" of wing-assisted hop (you couldn't really call it "flight"), even when motivated by the thought...