Next step will be getting her in her own bed or crib and then hopefully the night coughing will stop completely.
On a side note, Kaio used to get coughs all the time for months at a time. Every time he got sick he would have a lingering cough. Well, we replaced our carpet with Cork flooring in November and he has not coughed since then. He has gotten a cold but no lingering cough. it is still early to tell, but I hope that gross carpet was the trigger. We love the floors, and no trees harmed or chemicals!