Abducted baby in ep. 10 SPOILER!!!

So that teenage mom never had a real baby in her arms, she just stole some internet photos? Hey, so it´s that easy just to walk to cops and say: "my baby was abducted", without any proof that you ever had one? And what did she meant: that she sends a photo of cute baby to her ex, and he comes "because we belong together" - and then what? No baby at all. Real silly.