I came across Herbert in a preschool classroom. He/she (here-forth "he") was part of an incubation project. He came out of his egg all by himself but he could not stand up or move around. The other chicks were pecking at him and he could not get any water or food. I separated him and brought him home with me. I named him Herbert. I then proceeded to read as much as I could about chickens and about problems with chicks.
A lot of the information I came across was from this website and many of the stories I read were very sad and made me not very hopeful. Herbert had the exact symptoms of many of the chicks people had given up on. Herbert would try to walk and quickly fall to one side which meant I could not leave food or water in his habitat with him. I decided to take him to avian specialist and she told me, she believed he has cerebellar hypoplasia. A condition that messes with the part of the brain that controls balance. Basically, he was perfectly healthy, but he could not stand or walk without wobbling or flipping over and ultimately landing on his side. Therefore he would need someone to do therapy with him to help him learn how to walk.
I gave him food and water by hand and worked on his physical therapy for many weeks and he has lived a healthy life for four weeks. He is doing very well, improves daily, and will continue to have a healthy life. Do not cull your chick if s/he comes out of the egg all by itself and is able to eat and drink with your assistance. Give it a chance. Do NOT believe everything you read online or someone's opinion. BRING YOUR CHICKEN TO THE VET. You brought that life into your home, you need to take care of it. Culling is not always the BEST option. It is much more rewarding to take care of a chicken in need and to bond with it. Just because it's not easy, doesn't make it a bad option.