A few thrift-store finds:
Janie White & The Sonlights, w/4 year old Rejana: Something Happened To Daddy
Phyllis & Art, The Hollywood Sweethearts (featuring their uncredited Horrible Singing Child): I Love Daddy
The Folmer Family w/6 year old Wendy: Wendy Sings With Mommy & Daddy - For you masochists, an entire album, featuring another version of "Something Happened To Daddy," and you must hear the ghastly, LOL-out loud "How Far Is Heaven," about Daddy dying!
The Horrible Singing Child genre primarily affected country and Christian family groups of the '60s and '70s, but here's a country family act from the '30s:
"Little Cowboy" Charlie Haden with the Haden Family Show
Yep, you read that right, that's the Charlie Haden, the legendary jazz bassist. The man who helped music explode with Ornette Coleman sang the above song at age two in 1939. Not as painful as the other tracks - it's short, and his attempts to yodel are pretty funny. This is taken from his latest album "Rambling Boy," featuring his own family e.g.: famous daughter Petra.
Thanks (or blame!) to li'l bro Paul Fab for the "Wendy" album.