what are the common side effects of inhaled steroid use for asthma?

my daughter is 4 y/o and she receives one inhaled dose of steroid daily.  We give this to her because right before bed she coughs profusely - methodically almost, around the same time every single night. What we are trying to understand is why?  She has not been diagnosed with Asthma, however when she gets a cold she coughs so severely that the doctor prescribes QVAR - steroid and albuterol to control the spasm of her cough. She started taking the medications in April and we have not been able to stop the meds..  Although my ultimate goal is for her not to need these medications.  Therefore, I am curiously interested in knowing if it is the steroid causing a residual cough.....leading to further use of the inhaler.  I also notice that my daughter asks for the inhaler....could she become addicted to it? I know that the med should ultimately be tapered off. Any information you provide will be greatly appreciated. Thank you.