Wow, I'd pretty much forgotten about that one, Cyn.
I know it's Clyde McPhatter, and I think it was just called Lover Please. Good one!
This song caused a minor scandal when it was released in 1959. I guess some folks thought the lyrics were just a little too racy to be sung by a 14-year-old:
Things he wouldn't tell nobody else Secret baby, I keep 'em to myself