Barbara George, I Know. A cute ditty from late 1961, 'I Know' made the Billboard Hot 100 #3 spot in the U.S. George counts as a one-hit wonder at least on one definition of the term. She left the music business by the end of the '60s and died in 2006.
Barbara Lynn, You'll Lose a Good Thing. This great R & B number made it into the Billboard top ten in 1962.
Barbara Lewis, Baby I'm Yours. From June 1965. I like Hello Stranger from 1963 even better.
Barbara Mason, Yes I'm Ready. From 1965.