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First Pick: Randy Duncan, QB, Iowa
 1961 Dallas Texans (one playing season)
Passing: 361 yards, 1 TD |
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|
1 |
Green Bay Packers1 |
Randy Duncan |
QB |
Iowa |
|
2 |
Los Angeles Rams |
Dick Bass |
B |
Pacific |
|
3 |
Chicago Cardinals |
Billy Stacy |
B |
Mississippi State |
|
4 |
Washington Redskins |
Don Allard |
QB |
Boston College |
|
5 |
San Francisco 49ers |
Dave Baker |
QB |
Oklahoma |
|
6 |
Detroit Lions |
Nick Pietrosante |
B |
Notre Dame |
|
7 |
Chicago Bears |
Don Clark |
B |
Ohio State |
|
8 |
San Francisco 49ers |
Dan James |
C |
Ohio State |
|
9 |
Los Angeles Rams |
Paul Dickson |
T |
Baylor |
|
10 |
New York Giants |
Lee Grosscup |
QB |
Utah |
|
11 |
Cleveland Browns |
Rich Kreitling |
E |
Illinois |
|
12 |
Baltimore Colts |
Jackie Burkett |
C |
Auburn |
There were no Hall of Famers selected in the 1959 NFL Draft
1 - Lottery Bonus Pick
 1959 NFL Draft by Team
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