I've been singing this to great hilarity since I learned it about ten years ago. I've done a bit of research and here are news reports about the incident.

https://www.washingtonpost.com/archive/politics/1993/08/20/20-naked-people-emerge-after-auto-strikes-tree/b36f7f9f-ab19-4c22-b975-79a402c9b438/
https://www.upi.com/Archives/1993/08/20/Pentecostals-crammed-in-car-flee-the-devil/3884745819200/
http://thebestofblasphemy.com/TN.html

There used to be two reports from the AP, the second one a report of the preacher's trial a few days after the wreck. However, when I searched for them just now, they no longer appear at the address I found long ago.

FYI: The Washington Post article requires a subscription. You can get a one day subscription for a dollar, or a one year subscription for $0.50 a month.