Probate laws are different from state to state. Without state information, it is very difficult to answer your question.
Generally speaking, if you do not want to leave anything to those children, you need to specify it in the will. Under some state statutes, the omitted children have rights to inherit what would be their intestate shares. It is likely the case in your situation. But there is more to it. If you live in a community property state, community property will take precedent over a will but under certain circumstances the omitted children will still get their shares and your daughter may only get one third.
