If an adult daughter makes a claim on a life insurance policy and another inidividual is the designated beneficiary what consideration is given to the claim by the insurance company?

Only the beneficiary has claim to the life insurance. They were put as the beneficiary for a reason. I would see if there is a will which states who gets what. Most people leave it to one person(whome they trust completely), then leave it up to that person to designate who gets what. More than likely, once the funeral is paid for as well as the debt the deceased might have left, there might be nothing left.