January 05, 1959
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| Number 1 - The Chipmunk Song | The Chipmunks |
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| Number 2 - Smoke Gets In Your Eyes | The Platters |
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| Number 3 - To Know Him, Is To Love Him | The Teddy Bears |
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| Number4 - Problems | The Everly Brothers |
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| Number 5 - One Night | Elvis Presley |
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| Number 6 - My Happiness | Connie Francis |
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| Number 7 - Tom Dooley | The Kingston Trio |
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| Number 8 - A Lover's Question | Clyde McPhatter |
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| Number 9 - Gotta Travel On | Billy Grammer |
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| Number 10 - Whole Lotta Loving | Fats Domino |