My grandaughter has had eczema all of her life. She scratches herself and when it's more severe she scratches so hard that it brings blood. If your daughter isn't scratching I'd wonder if it's eczema. Could it be dry, chapped skin?
The cortisone is fine to use for short periods of time. If used constantly it can cause the skin to become thin. I'd suggest that if the cortizone doesn't make an improvement in 2-3 weeks that you try something else.
My granddaughter has been on a regimen for the past several years. When her skin is rough, red, and dry we first put on cortizone cream or ointment. We apply an emolliant cream over the top of the cortizone. Eucerin is one Brand to use. There are also store brands that work as well and are less expensive. We use Equate and I think I bought it at Walgreens. It's important to use a dry skin cream with moisurizers, not a lotion and to apply it several times/day. If the eczema is only on her face, wash her face twice a day and then immediately apply the cream while her skin is still damp. The cream seals in the water. You can use just water or a very gentle soap without scent. I think she's using Cetaphil soap. Cetaphil also has a good moisturizing cream. Vaseline works well too. We have used the creamy vaseline that comes in a bottle. Her skin is so dry that it soaks right in eliminating that greasy feeling.
If the rash continues, my daughter's allergist has prescribed a cream that we use next.
She also now takes an antihistamine, Zyrtec, not only for the eczema but also for other allergies.
Even after the rash has healed continue to keep her face moisturized with the cream. This helps prevent a reoccurrence.
My granddaughter had eczema in the creases in front of her elbows and back of knees. If left untreated the rash spread from there. She would also be itchy on her trunk but the rash didn't get as severe there. We slathered her with lotion at least twice a day; sometimes more often when she was a baby.
The cream does feel sticky until it soaks in. When my grandaughter reached school age she didn't like the feel of it. Eventually, after the eczema was under control most of the time we switched to a lotion of the same brand.
My granddaughter had/has other allergies in conjunction with the asthma. The allergist said that this is common. She was allergic to milk, eggs, and peanuts as a baby. She has outgrown the food allergies except for peanuts (she's 8) and is now only allergic to grasses, trees, pollen, that sort of thing. If your daughter is also not tolerating certain foods very well you could consider the possibility of allergies. Her pediatrician can test for those in her office.
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In response to suggestion to not use petroleum based products on the skin because it seals the skin. That is the reason to use it after a bath when the skin is moist. Vaseline seals the moisture in. Using creamy vaseline helped my granddaughter's skin to heal.
The person who recommended it is black and was her preschool teacher. I know many black adults who use vaseline to soften their dry skin. Monet is part black even tho her coloring is more Mediterranion. Perhaps that's why it works for her.
Eczema can be caused by product sensitivies. In which case it's called contact dermatities. True eczema is the result of the person's skin having a different make up than the normal person's. I've not heard of eczema being caused by food allergies. My granddaughter had several and the eczema continue to bet worse after she stopped consuming the foods and if we didn't slather cream over her skin.
Oddly enough the dermatologist said to bathe her everday so that she would have the extra moisture to be sealed in. I thought that bathing dried one's skin so I double checked with the dermatologist. He said a bath every day followed by an emolliant cream. Do not use soap because it does tend to dry out one's skin. Most days, Monet had a water only bath. When she needed a "soap" we used Cetaphil. The "soap" comes in both liquid and bar.
I use Cetaphil so that my senior skin doesn't become so dry. smile.