I saw this Moisturel Sensitive Skin Cleanser at local Bed Bath and Beyond store on clearance. Final price was about $3 for an 8.75 oz bottle so I grabbed some. This is very gentle cleanser for sensitive skin. Not a makeup remover though. It's soap free and that's what I like in my both body and face washes. Nice packaging, similar to Purell hand sanititzer bottle. As good as or better than baby head to toe wash but for adult skin (so your baby will not think you're using his/her product :). I don't see any review for this particular face wash so I hope it helps. You cannot see in most drug stores though.
Active Ingredients: Cocamidopropyl Betaine; Diazolidinyl Urea; Methylchloroisothiazolinone; Methylisothiazolinone; Methyl Gluceth-20; Sodium Laureth Sulfate; Laureth-6 Carboxylic Acid; Disodium Laureth Sulfosuccinate; Water