One interesting alhaitham fanfic could be about his adventures in a new, uncharted part of his world. Maybe he discovers a long - lost civilization and has to use his intelligence to interact with them.
Ask in relevant online communities or forums dedicated to the source material that alhaitham is from. Other fans might be able to recommend some great fanfics that they've read.
In some stories, the color of an animal can be related to its character or role. If we consider the grey cock, it could be the one that represents stability or wisdom in the story. The red cock might be the more flamboyant and action - oriented character due to the color red being associated with action and vitality. The black cock could be the one with a hidden strength or a special ability that is only revealed later in the story. But again, this is all speculation without the actual story.
I'm not sure what specific 'cock to cock stories' you mean. It could be some made - up or very specific local tales. Without more context, it's hard to say.
I'm not sure which specific story is referred to as just 'grey cock red cock black cock story'. There could be many fictional or cultural stories that might use these terms in different ways. Maybe it's a story about different colored cocks on a farm and their adventures, but without more context, it's hard to tell the exact story.
It could include how you first saw the rooster. For example, you might say 'I first saw the cock in a small farmyard. It was standing on a fence post, looking so majestic.'