The song "Why" was written by Robert "Bob" Marcucci and recorded and released by Frankie Avalon in 1959. It went to #1 on the Billboard chart on December 28th, 1959 which made it the last #1 single of the 1950s in America.
You can purchase an MP3 of that song here:
http://www.Amazon.com/Why/dp/B000S3OCEY/ref=sr_1_1?ie=UTF8&qid=1345144942&sr=8-1&keywords=frankie+avalon+why&tag=brainrub-20
"Rockin' Little Angel"-Ray Smith 1960
Barbara Mason originally sang the song, Yes I'm Ready.
Little Willie John sang the 50's song entitled 'Sleep'.
Brian Hyland in 1960
you may be thinking about "Good timin'" by Jimmy Jones, a number three hit in 1960
Hong Sang-soo was born in 1960.
Sapphires
The Volumes
Lettermen
"The Lana Sisters".
Dinah Washington-1960
Rolling stones
Andy Willams sang a song called "Do you mind" and Anthony Newley then released it in 1960.
Temptations-1960
Brothers Four-1960
Barrett Strong-March, 1960
Don't you mean "The Eve of Destruction"?