Eye allergies and dermatitis usually affect both eyes. Dermatitis is a medical term for inflamed skin. You may already have consulted a dermatologist for this problem, which very sensible. Eczema is one of the many conditions that cause dermatitis. Dermatitis can be treated with double base flare relief, Aveeno or Dermalex, all of these are available over the counter from your pharmacist.
You may also suffer from dermatitis due being allergic to either any eye drops themselves or the preservatives within the eye drops. It is always best to see if you can obtain the eye medication without preservatives if possible to avoid the risk of being allergic to preservatives. Allergies to skin cream / cosmetics / make up are also common and just changing to a different product may relieve the dermatitis. Some people are allergic to nail treatments, eye lash extensions or hair dye and all of these can cause dermatitis.
If you suffer from uncomfortable eyes you may wish to take advantage of a local MECS scheme, under which your eye related issues can be assessed, paid for by the NHS