In a rural village, a wife might be in charge of the family's small poultry farm. One of the cocks there is very unique. It has beautiful feathers. She often tells her neighbors about how this particular cock wakes everyone up early in the morning with its crowing, and how it bravely protects the hens from other animals.
If she means stories about roosters, you could simply start telling her about the time you saw a really colorful rooster at a fair. Just keep it light and fun.
This phrase is quite ambiguous. It might be misinterpreted as something improper. But if we consider 'cock' in the sense of a male chicken, it could mean she has an interest in stories about them. Maybe she grew up on a farm or just has a strange fascination with chicken - related tales. For example, stories about a rooster that wakes up the whole village every morning could be what she's interested in.
No. In standard English, this is not a correct phrase. 'Cock' has different meanings, but in this construction, it doesn't fit grammatically or semantically with 'wife had a... stories'.