Unfortunately, it is not possible to challenge the rules of intestacy.
Your brother-in-law may have been estranged from his father that his father still inherits the estate.
The legal situation is that funeral expenses and debts have first charge on the estate and the father is entitled to everything else after that. Normally, if whoever is dealing with the funeral presents the account and the death certificate to the bank, they will pay directly.
I’m sorry to say that in circumstances like this, the sister is not in any position to challenge the rules of intestacy.
I’m sorry, I know it’s not the answer you wanted.
Can I clarify anything else for you?
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It can just be a family member, it doesn’t have to be the father, although because the father is going to inherit everything, it does mean that your daughter would be doing it for nothing.
There is nothing to stop the father just instructing solicitors and biting the bullet on the costs.