We had a little hen years ago when I was still a kid. A Rhode Island Red. I named her Brownie. She was a healthy chick, but when they were about 2 weeks old, when I came home from school, she had somehow managed to break a leg. Pretty badly too, the foot was just about turned all the way around, facing backwards. We (my family) tried splinting it, but she and the 5 other chicks we had kept pecking it apart, so we eventually gave up.
My biological father said she would die, but Brownie surprised us all when she didn't, and not only that, became our best layer out of the 6 chickens we had at that time. Laid an egg almost every day. Big eggs too, given her size (she stayed pretty small for her breed, I think due to the broken leg as a chick). Brownie also had powerful wings. She did not walk very well at all, but she sure could flap her wings and propel herself where she wanted to go. We once even found her on TOP of the chicken coop! Five feet up in the air and could only guess that she flew up there.
Things happened and we ended up having to find homes for them all, and found an elderly woman and her husband who took them all and added them to their already existing flock. They apparently had this rooster who the hens all bullied, so he never had any chicks (they told us they suspected he was sterile), but when Brownie was introduced, he bonded right away with her and followed her everywhere. Brownie apparently became the head of the flock, no one picked on her (or him any more after she came along). She ended up being the last hen of the six to die, and the rooster died two days after she did. Just up and stopped eating and drinking after she died. I would call that true love I think.