My grandmother had allergic rashes around her eyes and nose and learned she was allergic to something in the particular brand of nail polish she was using. It didn't show up around her hands, but did on the more sensitive areas around her eyes and face. So it could be anything, not just a cosmetic but even a product like a counter cleaner or dusting product -- something your spouse or kids are using. The hunt for the offending product may be long and difficult. Good luck though as removing the allergen is so much better in the long-run than having to take drugs.
ETA: Also think about a food allergy. My allergy to wheat manifested not only via GI issues, but also itchy rashes on my shins and flanks, and asthma. My derm suggested it was an allergy, so I spent a lot of time looking for a contact issue. When I stopped eating wheat, all of this cleared up in a matter of weeks.
I had to wear a Holter monitor for 48 hours last week to check my heart rate....within minutes of the tech putting the sticky electrode things on me, the areas started to itch. After 48 hours, every spot (5 of them) had an oozy, itchy rash. 10 days later, I'm still battling this although the oozy spots have scabbed. When I complained, their answer was, "sorry. this happens to a lot of people." An online check said often this is related to an allergy to nickel, which often surfaces via the wearing of inexpensive costume jewelry. So vexing.