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After death of a child the child support payments may or may not be terminated. It depends on the state you live in and if there's a condition in your divorce degree that address it. Your ex can also appeal and have the child support payments terminated by a court order.
According to a Denver divorce attorney:
“Emancipation” in Colorado occurs when a child turns 19, marries, joins the military, graduates from high school and/or becomes self-sufficient, or death–whichever comes first. These are considered the moments when a child becomes an adult.
Regarding your ex social security, only payments your ex is entitled to can be used to repay child support. Day after your ex passes away his eligibility for benefits will be terminated, which means the child support repayment will be terminated as well.