In Psychology, there is a theory called modeling and the theory talks about how one may change his or her ways of thinking because he or she notice or observe other person's Behavior. Also in a branchn of Psychology, modeling is just about a method or technique in psychotherapy but in this question we are talking about the first or former meaning rather than the latter one.
In the question we have that the daughter named Mia copied what her mother use to do while doing work, especially while washing hairs so the daughter started doing likewise it means that Mia, that is the daughter got her Behavior from her just buy observing her ways of doing things and the term is called modeling.
It's too early for the baby to get custom to being picked up every time it cries most babys cry when they need attention or the basics gasy hungry or to be changed him touching the baby comforts the baby and this is a stage of development where the bond between parents and infant is made.