I havent sought out most of my birds- only Ollie as when Jack died, Harlie had no company and I didn't want her to be alone whilst I was at work.
My first bird, Madison my budgie came to me via someone who got her and decided she couldn't look after her. She was free to good home so a friend took her and gave her to me because ''I liked animals'' and she wanted her to have a good home.
With most of my others it has been a friend of a friend didn't like the look of how they were kept and I somehow ended up getting dragged to see them. I don't like any animal suffering so every time I ended up making a small monetry incentive (Nowhere near their actual value in some cases) for the person to hand the bird over. As far as I'm aware none have ever replaced the bird they gave up and none of them objected to me taking the birds.
My little Tico was an exception, still rescued from a place I used to volunteer at but her parents stopped feeding her as soon as she came out of the nestbox for the first time. I spent alot of time watching her to be 100% sure but they were feeding the others but no her so I took her, fed and weaned her.
I do think there is a difference between this and someone ''rescuing'' a bird when they know the bird will be replaced with another (a pet shop for instance) or where a profit is being made.




