Who is entitled to an inheritance if the only beneficiary is mentally incompetent?

Question Details: A family member died without a Will. They have no surviving direct family members. My mother is the only first cousin but she is not mentally able to understand anything and is in a state care facility. She has been mentally unstable since I was 5 years old and I'm now 60. A law firm has reached out to me and my 2 bothers and they said that she is the only surviving first cousin and they are saying that my sibling and I have no say. Does this sound correct? The estate is 1.2 million and it looks like this law firm is going to give it to the state. Can my brothers and I do anything about this?

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