Causes allergic reactions when sitting on the furniture

The material on the furniture is causing rashes and breathing problem when we set on the furniture uncovered.  I have to keep all of the surface of the couch and two recliners totally covered at all times.
Our little Granddaughter is getting asthma attaches and bad coughing attaches when she is on our furniture when uncovered. My wife and I both get stuuffy heads and we break out in a rash when sitting on the furniture wherever our bare skin is exposed to the fabric.  
From the very beginning after we got our new furniture why we would get stuffed up when we sat on it.   Our little granddaughter comes to visit from away and every time we put her on the furniture to sleep she starts coughing and she ends up have and asthma attack..We noticed if she sleeps somewhere away from the furniture or stays away from the furniture she is fine or if we keep it completely covered at all times when she is near it.  
I was sleeping one day in the recliner with just a pair of shorts on and when I got up I told my wife I itched and wherever my bare skin was exposed to the material on the chair I was broke out in an itchy rash.   So we have to keep the furniure completely covered at all times.  We want to enjoy our furniture and not get sick or uncomfortable when sitting on it or worry about our little Granddaughter getting real sick from being around it.