C.W.
Yes, they do seem to have helped me. However, I've always had to use medication along with it. Helps you sneeze less and feel better if you are allergic to dust. However buying new filters every 2-3 months gets expensive, so I stopped using it due to cost. My allergy Dr. recommended a HEPA filter. I have a Bionaire and another major brand that is circular in shape (can't think of the name). The filters several years ago $25-30 dollars a piece, not sure if it is still the same or gone up. There is a pre-filter and filter on some brands and then some that just have a filter. The ones with the pre-filter seem to do a better job than the ones with just a filter.
Another thing that helps is to remove the carpet and have hardwood or tile on the floors. Keep pets away from child's room, or outside or in other rooms.
Yes, they work, when you change the filter you see all the dust and dirt that it picks up. It picks up dust and dirt you can't see that so tiny. Some can be loud and that is the downside to it. You may be able to get by with doing it just at night while she is sleeping or for part of the day that she is in her room during the day. The air purifiers I have bought, have been high quality ones that were recommended in Consumer Reports and by Dr.'s. I'll look for my other air purifier and see if I can get that name for you. Be sure and get a filter that it is easy to get replacement filters for. I had one where no stores had the replacement filters, I had to mail off for new one and wait to get them in the mail.