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Continuity mistake: 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.
Answer: The Beldam lures victims by offering them something they want. In Coraline's case it was more attentive parents. It's not said what exactly was used to lure the parents but it must have been something they both wanted.
BaconIsMyBFF