Hi Angie Huggs to you for feeling so badly.
I too have a serious cough that won't go away and I may know your problem. Have you lived in your prior city very long before you moved? It could be the city change wreaking havoc on your respritory system. I am no Dr but have had allergies since i was a baby and my daughter was born with them too. We can visit another city and her and I will both suffer for weeks over it. Our lungs get used to breathing one kind of air then we force them to breathe a total different atmosphere and it starts it off.
My Dr and Allys Dr have always called them "allergy attacks" allergens we are not used to are attacking our lungs, and our lungs are taking them as foreign matter and trying to cough them up. Ours starts off as a dry cough but then as the lungs try harder and harder to get the "foreign" stuff out it starts causing a fluid build up and the cough turns to a wet cough which then goes to Bronchitis.
Long health history there but it may help you figure out what your cough is caused from. Again I am no Dr but my daughter and I take Alavert for it and we get it over the counter at Wal-Mart (Dr prescribed it to us the first time we used it and now we get it over the counter). It doesn't take the cough completely away but it does make our attacks shorter (we also both have breathing treatments we have to take on bad days). Maybe you can get it until you get insurance and can go to the Dr.
Hope this helps you
another suggestion is chicken soup, coffee, hot tea, broth, HOT steamy showers...anything with steam that you can breath and relax the pores in your lungs...Hugs to you again..