I have Asthma.
Since childhood.
Those things can help.
It is not a 'cure.'
Off fuming from things, can affect a person's lungs.
So sure, things that are free of that, may help.
Also, you should get an air filter/air purifying appliance. For her room or the house. My parents had one for me when I was a child.
They also took the carpet out of my room.
I had pets, but they were not in the house.
Keep in mind, that for each person, with Asthma, it is different things, that affect them.
Also, look at these Asthma links:
http://www.lungusa.org/lung-disease/asthma/
http://www.asthma.com/index.html?rotation=30490751&ba...
But even an areas smog or air quality, affects Asthma.
Sure, try it and see how it helps your child.
Asthma... is not something you 'cure.' It is something that is managed... everyday.
And even if you do those things... she STILL needs her medications. Do NOT, stop those.
all the best,
Susan