A few years back when I was in the throes of divorce litigation, whenever a child of mine reached majority, the divorce lawyers would negotiate a new child support order at a cost of many thousands of dollars. Each new order that got entered into the public record carried my full name, address, date of birth and social security number. When I balked at signing such a privacy-wrecking document, I was told that unless the order contained this information, the desk clerk wouldn't accept it for filing. Then I wouldn't "benefit" from having my child support payments reduced by about a hundred dollars per month. (It's not smart to spend thousands to save hundreds. That's part of the estate-wrecking "game" of divorce that dispirits men.)
In Virginia that has changed and now social security numbers are contained in another court document which is filed under seal. But there are states that are more backwards than Virginia.
I know a person who recently ordered a copy of a marriage certificate from another state, a public record readily available to anyone. It was an outrageous treasure trove of personal information.
It listed the full name of the man and woman, along with each one's date and place of birth, social security number, current address, status (divorced or not and what month and year), and full mother's and father's names and status (dead or alive). It listed the full name and address of each witness.