You can try goodnessme soap. It is camical free,organic produce it's tears free also.

I m using Goodness me soap . This is no more tears soap it’s specially made for babies. This organic n it’s made natural ingredients u try this

My daughter had the same issue and our pediatrician suggested us to use Bioderma Atoderm soap. It contains glycerine and Shea butter prefect to maintain skin's ph level

Try using Bioderma atoderm intensive soap I am using it for my daughter. Bioderma Atoderm Pain Cleansing bar is suitable for daily hygiene of very dry skin. It moisturizes due to its content in glycerin and Shea butter and has a calming action on kids skin. Leaves skin so soft and smooth throughout the day.