Levi will sometimes make mention of his supposed 3-year-old daughter. (I sometimes will say that I have a son, and I’ve given him various names over the years—what a great trope!) This reminds me of the reverse of this.
I can’t say too much about the context of the writings, but I knew someone who needed on occasion to imagine terrible things happening for the sake of philosophical discussion. He would begin essays with such a terrible thing happening, and the names he would give these people were members of his family (though not identified as such). The stranger part was that he would then argue for ways in which this situation could be undone (don’t ask). He wouldn’t identify the people as belonging to his family, though you could know the names, and I think he didn’t see this as strange at all.