The expression is rather ambiguous. It could be that there is some sort of cultural or family - specific behavior where the wife's act of'swallowing' (which could be metaphorical for taking in information or emotions) is related to her then telling stories. For example, she might swallow her doubts or fears and then tell stories to comfort others or just to pass the time.
The phrase 'wife swallows' is very ambiguous. If we assume it's a creative or misphrased way of saying she accepts (swallows) ideas or experiences and then tells stories, she might be sharing fictional tales inspired by things she has learned or felt. For example, if she reads a lot, she could be telling stories based on the themes from the books she has 'swallowed' (absorbed).
The phrase 'wife swallows stories' is rather ambiguous. If we take 'swallow' in the sense of taking in or believing, perhaps it means that the wife has a tendency to easily believe the stories she hears. Maybe she is a very trusting person when it comes to tales told to her, whether they are true or not. However, this is just speculation without further details.
Maybe she is trying to hide something she did wrong. For example, if she made a mistake in household finances but doesn't want her partner to know, she might tell stories to cover it up while swallowing her guilt.
The phrase 'swallows and tells bf stories' is rather ambiguous. 'Swallows' might be a very specific action in a particular situation that we don't know about. When it comes to 'telling bf stories', it could be normal stories about her day, or some shared memories or even fictional tales she shares with her boyfriend. However, without more details, it's hard to be more precise.
First, have an open conversation with her. Let her know that honesty is important in the relationship. For example, say 'Honey, I noticed you sometimes tell stories that don't seem true, and I want us to be honest with each other.'
It could mean that the husband wants the wife to share some stories in a very informal or relaxed way, perhaps 'stripping' away the formalities. For example, when people usually tell stories in a social setting, they might be cautious about how they present it. But the husband here is asking the wife to be more candid and just tell the stories without any frills.
Maybe she takes a bite of an apple (swallows it after chewing) and then starts to tell her boyfriend about a funny incident that happened at work that day.
It could also mean that mom hides or suppresses stories. Maybe there are some family stories or personal anecdotes that she doesn't want to share or let out, so she 'swallows' them, keeps them to herself. For instance, if there were some embarrassing family incidents in the past, she might choose to 'swallow' those stories rather than let the family's reputation be affected.
I'm not aware of a widely - known 'wife swallows story' in mainstream literature or common folklore. There might be some very specific regional or personal stories with this name, but nothing that comes to mind as globally famous.
'Wife tells cuck story' might imply that the wife is narrating an incident or a fictional tale related to the idea of a cuckolded situation, perhaps in a relationship context. Maybe it's about a situation where one partner is unfaithful and the other is in the position of a cuckold. But again, we need more details to really understand.