Your child may have a skin condition called eczema, which affects only a limited number of children. Eczema can sometimes be accompanied by irritation, redness, and itching of the skin. It's quite common in infants. Changing the soap that is used could be a solution, but that is not always the case. Use a mild moisturizer that is not perfumed and avoid harsh soaps from your baby's routine. However, the problem continues, it is wiser to see a dermatologist for guidance.