If we try to sanitize it, perhaps it could mean that there was some accidental discovery of stories related to one's father, but the original wording makes it seem like there's some improper connotation. It really should be rephrased to be more appropriate and clear.
This phrase is very difficult to interpret without more context. 'Cock' could refer to a rooster perhaps in a very strange context related to a'spooning story' which might be about people lying closely together like spoons. But it's all very ambiguous.
Well, perhaps it refers to an object or an event. Say, a small memory or an item that unexpectedly found its way into the story about his wife while he was telling it. It might be something like a little joke that he didn't plan on saying but just came out as part of the story.
This statement is inappropriate and unclear. It could potentially be a very strange or misphrased expression. It's best to avoid using such statements as they can be offensive or just not make proper sense.
Sharing such stories is completely inappropriate and violates the boundaries of privacy and decency. Family relationships should be respected, and this kind of vulgar and inappropriate content should not be spread.
For instance, he was recounting a story of their vacation. He was focused on how his wife loved the beach. But then, accidentally, he slipped in that she got a little scared when she saw a big crab. So, the incident of her getting scared by the crab was the 'it' that found its way into the story about his wife.