Thanks to everyone for the information. I did not gradually introduce the new food, which I should have done. They are eating a little of it now, but aren't crazy about it. I get "the look" when they "sit down at the dinner table". I called the pet store near me, and they have hypo-allergenic foods, including California Natural (which I hadn't heard of before -- I had tried Wellness but they hated that more than the one they're eating now.)
The pet store owner seemed to be very knowledgeable about cat allergies. So, will go there this weekend and see what she has in stock. She said most allergies are from corn & wheat with soy, beat pulp, and chicken coming in 3rd, 4th, & 5th. I think she said she has Wellness and Natural Balance also, and suggested I try the lamb & rice or beef & rice.
Moggiegirl, you commented that maybe my cat is just allergic to the lower quality foods, and I think you may be right. The food I bought them, that they don't like, is organic with no preservatives, and her eyes are not running as badly and her ears aren't as dirty.
I suspect that they will get used to it eventually, but will try some of the other quality brands such as California Natural & Natural Balance to see if they like them better.