Yes you can use a natural oil based tear free shampoo for daughter. The moms co is very mild and effective it helps in strengthen hair and helps in hair growth as well .

M using mamaearth shampoo, its chemical free n tear free too doesnt leave the scalp dry...shampoo suits my dd hairs. U can try

You can use spoo shampoo for daughter.

Use mamaearth gentle cleansing shampoo Keep Your Baby’s Scalp Moisturized and Hair Healthy. Enriched With Goodness of Coconut based cleansers and Jojoba Oil to Nourish Baby's Hair.!

Apply ghee to her scalp...