To those who had a bird escape - I am so sorry. Years ago, I also had a female tiel get out. I was so very happy to get her back within a short amount of time. My brother-in-law climbed a tree for me and got her. I was so happy. She was such a gentle bird but she sure bit him when he grabbed her! Her nickname from him since then was "Jaws" lol...
And I do have a parakeet that was found where I work. I have him now for over 5 years.