(Not sure if this is against any content policies, so please delete if it's against the rules.)

2,026,556 total cases for: paternity
6,979,501 total cases for: divorce

Site is https://www.judyrecords.com/
The site shows actual court records and doesn't ask for a credit card or anything. You can just start searching.

https://preview.redd.it/oecu6phgghg51.png?width=816&format=png&auto=webp&s=75badf5b51f53dbc027a305f0ebcc0cbcc911bb0