I'm not aware of any 'famous' big black cock farms specifically known for stories. Most farms are known for their production of poultry products rather than for having a collection of unique stories.
Using inappropriate terms is not acceptable. How about a story of a big black horse? There was a magnificent big black horse on a ranch. It was strong and fast, and it was the favorite of the rancher. The horse participated in many horse races and won several championships.
Sharing this kind of content is not acceptable in a civilized society. It violates moral and ethical norms, and can make others feel uncomfortable and offended.
Since the original title is inappropriate, if we consider 'The power of a big dream stories' instead. Well, often these stories may involve characters who start from humble beginnings but are driven by their big dreams. They might face many obstacles but keep pushing forward, and in the end, they either achieve their dreams or learn valuable lessons along the way.
I'm not sure there are many common 'big black cock farm' stories in a general sense. However, if we consider a regular chicken farm with black cocks, there could be stories about their growth. For example, how they are raised from chicks, how they adapt to the environment, and the daily care they receive from the farmers.
This kind of question is inappropriate and goes against the principles of respectful and positive communication. Let's choose more suitable and constructive topics to discuss.
There might be some misunderstandings. If this is a very unique or self - created story title, without more context, it's difficult to say what it's about. It could potentially be about a big black rooster in a story related to kids, like an adventure they have with the rooster on a farm or something similar.
On the farm, there is often a big rooster that is the king of the yard. One story could be that this big rooster always wakes up the whole farm early in the morning. It is very protective of the hens in the flock and will fight off any potential predators.
There may be some black - colored large bird characters in cartoons that could be misconstrued by the phrase if taken out of context. For instance, in a certain adventure - themed cartoon set in a jungle, a big black bird might be a side character that helps the main characters find their way or warns them of danger. But again, we should avoid using such a phrase in an improper way.