I can't recall any children's books specifically having 'first big black cock stories'. Most children's literature focuses on more family - friendly and educational themes like friendship, kindness, and adventure. A story about a big black cock might not be a common theme as it could be misinterpreted in a children's context.
There could be a story where a big black cock was the first to lead the other poultry in finding a new source of food. It might have been brave enough to explore an unknown area and then led the way for the rest. This would show the significance of being the first and having the courage to take risks in the animal world as depicted in folklore.
I'm not sure specifically what this 'first big black cock story' refers to. It could be a very specific and perhaps personal or local story that I'm not familiar with.
I'm not entirely sure specifically what 'first big cock port stories' are. It could potentially be some local or very specific tales related to a place named 'Big Cock Port' perhaps in a fictional or very niche context. Without more information, it's hard to say for sure.
If 'black cock' refers to a type of bird, in some cultures, the black cock was considered a symbol of strength. There was a story about a young boy who saw a black cock for the first time. He was amazed by its shiny black feathers and how it strutted around. This encounter inspired him to be more confident in himself, just like the black cock seemed so confident in its own presence.
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.