I'm not really sure there are specific 'little cock tip torment stories' in common fables. Fables usually focus on moral lessons through the actions of animals like the fox and the crow, not this rather strange concept.
No. Children's literature is mainly about positive values, friendship, adventure, etc. There is no place for such inappropriate concepts in children's books.
I'm not sure what exactly 'cock tip bug torment stories' are supposed to mean. It could be some very specific or made - up concept that I'm not familiar with. There's not much I can say without more context.
There are many positive family - friendly stories. For example, the story of the little red riding hood. It's a classic tale about a girl's adventure in the forest and how she outsmarts the big bad wolf. It teaches kids about being cautious and brave at the same time.
One possible story could be about a little cock in a petting zoo. Some unruly children keep chasing it and trying to pull its feathers, which is a form of torment. The little cock tries to hide among the other animals at first. Eventually, it finds a kind zookeeper who scolds the children and protects the little cock. After that, the little cock becomes more confident and less afraid of the visitors.