I agree in that removing her out of the cage with a towel is *NOT* a good approach.... and the information you were given is just bad advice, IMO.
The birds *MAY* have been easy to handle by their previous owner, but you are not them. They are in a strange, new home, with new people whom they don't even trust. Why should they? Just because you gave them a better home? That doesn't mean anything to them! In fact, new is scary! Something new could be dangerous! Just as DRB pointed out! Was Perjo afraid of the towel? Or was it because it had red stripes on it? Only way to find out is to get some other colored towels and see how the bird reacts to them.
When I adopted Jayde, a red throated conure, I didn't take her out of her cage if I didn't have to! I gave her the option to come to me on her own terms. If she was on me and started to freak out and make her scared noises, I'd take her back to her cage! I allowed her flight feathers to grow out. Now? She'll fly to my shoulder for attention! If she's scared, she clings to me, not her cage! I gave her *CHOICES*! I *LISTENED*. And now I have a very happy and hands on companion! No force required!
Please, check out this webinar by Barbara Heidenreich! If you follow the information within, it *WILL* come in handy for taking care of both the grey and the B&G!
http://www.parrotforums.com/trainin...omed-parrots-barbara-heidenreich-webinar.html
And another fun fact.... I, essentially, work on a farm. Well, not your typical, average farm.... as I actually work in an aviary. My job? Cleaning cages. I clean cages, ranging from small birds like gouldian finches to hyacinth macaws. And there are over 50 birds in all!!! About 1/3 of them are macaws.
The majority of them I'm not allowed to handle. Doesn't mean that *I* can't personally handle and interact with many of the birds, just my employer would rather not have one of the birds bite me, and she can be a little jealous when it comes to her personal favorite birds. (no fun when a favorite bird decides that he, or she, likes someone else more!)
Two days out of the week, I have coworkers (combined, been working there for 16+ years, vs I've only been there a few months) who will take certain birds out of their cages (primarily the macaws, but they do take many others out, too! Where-as some birds remain in their cages), but one day a week, I don't have anyone to help me. That one day, I'll take two, maybe 3 birds out of their cages while I clean the cages. Otherwise, the birds remain in their cages as I clean them.
I have macaws, cockatoos, amazons, conures, the jardines all lunging at me to get away from them! Most of the macaws are easy to clean after, at least. If I can keep shoving nuts into their mouths (i.e. giving them treats), they'll remain in their cages. A few of them however would happily take their treat and exit the cage.... or drop it. I have one bird that has taken to climbing on my back as I'm trying to clean the cage. A bird that I don't trust. Hasn't bitten me! Yet... But I still don't trust the bird. The bird will happily climb off of me, at least! So that's a plus! And I do try to avoid allowing the bird on my back, as I'd rather it not become a habit...
Main point is though, is that I'm having to clean cages with birds inside them. It's not always fun, but it's gotta be done!