Cat: You realize you're going right into her trap.
Coraline Jones: They're my parents.
Cat: Challenge her, then! She has a *thing* for games. She won't be able to resist.
During the other father's song, notice the red record player by the door and the position it's in, with the lid facing Coraline when he says, "making up a song". When the camera angle changes and he says, "she's a doll", the record player's position changes completely, with the lid now facing the wall.
The song that Coraline's father is singing whilst making dinner, is the same song that he sings to Coraline as a lullaby in the book.