Why do married women call them self’s Independent??

because they are Independent

You can be married and be independent. Just because you have a spouse does not mean you have to depend on them. In fact there are probably more dependent men than woman.

I think that people call themselves independant for many reasons. They aren't attached to their spouse or SO at the hip, they could support themselves fiancially, they don't rely on their spouses or SOs for everything - those make you independant. Single, married or in a relationship.

I am an independant person. I like to do things for myself, at least as long as I am able to. I don't think my husband would want me to dependant on him for everything, I think it would drive him nuts.

I am an independent woman because I am self sufficient. I don't have to rely on my SO to live or make major decisions.

Perhaps they mean career-wise. Are all of these women stay-at-home mothers? If so, perhaps they mean they are free spirits.

That is one type of independence, however you can be a wife and mother and still be independent. Self thinkers, who do things on their own and not wait for their husbands or friends to do it for them. Haven't you met independent children? They want to learn and do for themselves? They still have parents who care for and nuture them. Marriage is a partnership not a dependence.