I'm Lucy, and I'd be happy to answer your questions today.
You have the ability to ask the judge to obtain a life insurance policy, naming your daughter as the beneficiary, and keep it until she turns 18 or graduates from high school, whichever is later. That's not terribly uncommon, but the amount of the policy would be typically only enough to cover child support until she becomes an adult. If he's got a lot of money, you could ask that he instead be required to set up a trust naming her as the beneficiary, with that same amount of money. Either of those things would be done via a Motion to Modify Judgment.
There is no law that requires parents to provide for their children after they pass away, so he could not be required to leave her anything after she becomes an adult. If the father dies without a will, his wife gets $20,000 plus one-half of his estate, and the rest of the estate will be split among all surviving children he has at that time. The estate is going to be comprised of all assets held in his name only when he dies or his share of assets held as tenants in common. Assets held jointly with his wife won't be part of his estate.
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