Vicki Lawrence sings The Night The Lights Went Out In Georgia (1996)
From the August 13, 1996 episode of The Rosie O'Donnell Show.
Rosie doesn't jump in until near the end of the song and honestly, nobody her/my age can blame her for wanting to sing along.
I edited the clip to include only the performance. Hopefully I've managed to remove most of the white noise and boost the audio without distorting it.