I've had the same thing! I'm twelve weeks and I'm not sick at all, I just have a random cough. I was worried it was dangerous for the baby, but any research I've done says the baby is fine. I don't understand the cough, but as long as baby is alright, I guess I'll just put up with it and ask about it at my next ob appt. Sorry to not have an actual answer, but I hope it helps to know you're not alone!