The Cornells

The Cornells were a 1960s Los Angeles band that played mostly surf music. Four of the five members had a parent that was a well known celebrity.

The band appeared on the show I've Got A Secret in 1963 with the secret "We're all the sons of Hollywood Celebrities". They played Caravan live on the show.

According to Richie Unterberger,"Whatever interest this L. A. surf combo generates stems from the fact that future Moby Grape guitarist Peter Lewis was a member. (...) Lewis was the only member destined to make a mark on rock history."

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Wikipedia