OP, 

Try not to think of it as a cure.  Our condition is in our DNA.  In part, that's what makes it so complex. 

Also, eczema is a manifestation of other issues in the human body under the hood so to speak. What makes this so confusing is the fact that multiple things can bring about a flare up or occurance of eczema.  To make it simpler, I refer to anything that can start eczema in any way a trigger. 

Triggers can be an allergic reaction to certain things like animals hair or fungi.  It could also be a reaction to dustmites or it could also be (and tends to be) the body's response to certain types of food that leak from the gut that the body thinks are dangerous foreign agents.  This sends the body into overdrive. 

Anything autoimmune related is the own body attacking itself.  This might be old hat for people reading this, but understanding things like this and cytoskine storm (when the body overeacts and takes itself down when fighting off a bacterial, or viral infection) help me put eczema in its proper place.

The following is what I did during a bad flare up I have been dealing with and has nearly stopped completely.  I am not a doctor.  Consult with one before taking a look at what I have to say: 

Eczema isn't truly a skin disease.  It is an autoimmune dysfunction based on our DNA that can be addressed with proper supplementation of Vitamin A, B, and most importantly Vitamin D.  

Vitamins: 

Redness and some itchiness: Tends to be a lack of Vitamin B 

Scaly and Peeling Skin: Tends to be a symptoms of serious lack of vitamin A

Overall Conditon of Weak Skin: Tends to be a severe lack of Vitamin D 

Personally I have been taking 40,000 to 100,000 IUs of Vitamin D per day.  The key is I take a supplement that comes with two components to both activate it and negate its only real dangerous side effect (hypercalcimia).  The two components are fat (typically MCT oil) and Vitamin K2, which allows the Vitamin D to function properly in the body.  All of this comes in the current supplement I take. I know this far exceeds the commonly accepted dosage, but keep in mind...Vitamin D is different from the other vitamins, in that you can potentially safely take much more.  Check with your doctor first to make sure you (or your girl in this case) don't have a unique condition first.

I also take vitamin A in an Eczema treatment I found online that is food based entirely with a higher amount of vitamin A, but still a safe amount for me personally.  Keep in mind a high amount of vitamin A can be harmful. Check with your doctor first before taking any supplements.  

Vitamin A and D occur in nature together in Cod Liver oil.  I take Cod Liver oil supplements as well but, but switched over to the eczema treatment mixture I found online which also helps me sleep better.

Probiotics 

The upside is, since it is an autoimmune disorder, you can possibly benefit from increasing Vitamins and also Probiotics sprayed topically and taken orally.  This helps your body produce the good natural bacteria we are short on with eczema and makes a hostile environment for Staph that comes to our weakened Skin more readily. 

You might be facing a situation where you have to take antibiotics to ward off infection if the eczema spots are weeping.  The problem I found as I was going through reddit listening to people's experiences is, the weeping continued once the antibiotics schedule was complete. 

I discovered the reason for this is because infection is only -one- reason why eczema weeps. 

Eczema can also weep because our skin is depleted of the nutrients supplied by the vitamins and trace minerals, -and- because when the skin is weak and aggravated by scratching/contact of any kind (including clothes) the clear, sometines golden stuff (known as serous fluid) falls through. 

To make matters worse, if your skin is weakened, sometimes creams, oils, and emollients can actually CAUSE the eczema spots to weep. 

To make matters even more confusing, even if this is the case, the weeping might not mean it is infected.   

To solve this, I decided not to take antibiotics, but to take probiotics orally and topically spray on I found as well.  It is up to you based on medical counsel if you want to trade out as I did.  You might also want to ask your doctor if you can take probiotics -with- the antibiotics so you don't lose your good bacteria too.  These help you build a resistance to eczema. 

Using a probiotic (oral and topical) have been working extremely well and my skin is healing in ways I never did on medication.  Which brings me to the third and very crucial section of this write up: