I read quite some news about those who jump and their body was found, but their family (mom, next of kin, etc..) request to withheld their name due to they want privacy, and that was totally respect by the news by law. So the news said, a native of (this state) like native Texan jump down abc place, body was found, but name are not disclose by their next of kin request to not.
So really, depends on how your family, mom or whoever want your name to be say or not.
I don't have any immediately family, no next of kin, so I don't know if the news or state would publish my name. But what I do know is if I succeed jump down a 1,000 feet free fall hit concrete, then it going to take a while for them to find out who I am due to I probably be smash and I have NO next of kin to identify my body.