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| First Round Draft Pick History |
| 1 | 15 | 15 | 1979 | Annual Draft | 1B | Andre | Thornton | MLB |
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| 1 | 11 | 11 | 1978 | Annual Draft | 2B | Tito | Fuentes | MLB |
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| Complete Draft History |
| 1 | 15 | 15 | 1979 | Annual Draft | 1B | Andre | Thornton | MLB |
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| 2 | 9 | 25 | 1979 | Annual Draft | P | Pablo | Torrealba | MLB |
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| 3 | 15 | 47 | 1979 | Annual Draft | P | Bill | Atkinson | MLB |
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| 4 | 9 | 57 | 1979 | Annual Draft | SS | Bobby | Valentine | MLB |
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| 5 | 15 | 79 | 1979 | Annual Draft | C | Bob | Montgomery | MLB |
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| 6 | 9 | 89 | 1979 | Annual Draft | P | Danny | Darwin | MLB |
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| 7 | 15 | 111 | 1979 | Annual Draft | 2B | Dickie | Thon | MLB |
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| 8 | 9 | 121 | 1979 | Annual Draft | 1B | Tom | Hutton | MLB |
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| 9 | 15 | 143 | 1979 | Annual Draft | P | Paul | Reuschel | MLB |
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| 1 | 11 | 11 | 1978 | Annual Draft | 2B | Tito | Fuentes | MLB |
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| 2 | 10 | 26 | 1978 | Annual Draft | 1B | Jose | Morales | MLB |
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| 3 | 11 | 43 | 1978 | Annual Draft | 1B | Roger | Freed | MLB |
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| 4 | 9 | 57 | 1978 | Annual Draft | P | Tom | Dixon | MLB |
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| 5 | 11 | 75 | 1978 | Annual Draft | P | Andy | Replogle | MLB |
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| 6 | 9 | 89 | 1978 | Annual Draft | SS | Fred | Stanley | MLB |
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