On this page they're offering for sale a 45-rpm record called "Anne Marie Loves Jean Pierre" sung by a "girl group" called the Sugarhill Four. The record label is Limelight 3034.

Funny, I'm unable to find any other reference to the song (with that exact title) or the group.

However, this Smothers Brothers discography says that "Anne Marie and Jean Pierre" was recorded by them on the 1964 album "It Must Have Been Something I Said."

This collector's site says it was written by Lewis Allan and Alan Greene.

Sorry, I can't find the lyrics or any sound samples, but maybe the additional information will help someone else find it.