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| League History Index | Players | Teams | Managers | Leagues | Leaderboards | Awards | Accomplishments |
| Player | From-To | W | L | Pct | ERA | G | GS | CG | SHO | SV | IP | H | ER | HR | BB | SO |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| James Halyard | 1888-1888 | 0 | 1 | .000 | 3.00 | 3 | 0 | 0 | 0 | 0 | 3.0 | 5 | 1 | 0 | 1 | 1 |
| Harry Hamilton | 1886-1886 | 3 | 3 | .500 | 2.87 | 23 | 0 | 0 | 0 | 6 | 31.1 | 26 | 10 | 0 | 19 | 8 |
| Bill Hampton | 1884-1884 | 0 | 0 | .000 | 2.61 | 4 | 0 | 0 | 0 | 0 | 10.1 | 11 | 3 | 0 | 1 | 5 |
| Edward Hannah | 1884-1884 | 0 | 2 | .000 | 4.26 | 5 | 0 | 0 | 0 | 0 | 6.1 | 10 | 3 | 0 | 4 | 6 |
| Jimmy Harewood | 1888-1888 | 14 | 13 | .519 | 3.74 | 42 | 27 | 20 | 0 | 0 | 243.0 | 278 | 101 | 5 | 47 | 86 |
| Herbert Harrison | 1889-1890 | 40 | 25 | .615 | 2.62 | 102 | 64 | 49 | 6 | 4 | 600.2 | 487 | 175 | 11 | 199 | 322 |
| George Hawkins | 1882-1885 | 0 | 2 | .000 | 4.88 | 34 | 0 | 0 | 0 | 1 | 48.0 | 66 | 26 | 3 | 19 | 18 |
| Ray Hayden | 1884-1890 | 149 | 100 | .598 | 2.67 | 278 | 253 | 213 | 9 | 2 | 2261.1 | 1923 | 672 | 71 | 634 | 1245 |
| Ed Heald | 1890-1890 | 0 | 0 | .000 | 27.00 | 1 | 0 | 0 | 0 | 0 | 0.1 | 1 | 1 | 0 | 1 | 0 |
| Lou Hearns | 1882-1885 | 17 | 6 | .739 | 2.77 | 31 | 24 | 19 | 2 | 0 | 217.2 | 211 | 67 | 3 | 32 | 42 |
| Theo Heath | 1890-1890 | 19 | 18 | .514 | 2.12 | 49 | 35 | 31 | 2 | 1 | 322.1 | 275 | 76 | 8 | 93 | 172 |
| Joe Hewitt | 1887-1887 | 1 | 0 | 1.000 | 1.88 | 8 | 0 | 0 | 0 | 1 | 14.1 | 9 | 3 | 0 | 5 | 7 |
| Bernard Holbrook | 1888-1889 | 31 | 36 | .463 | 3.51 | 88 | 66 | 47 | 4 | 2 | 596.2 | 542 | 233 | 10 | 186 | 285 |
| Sidney Horace | 1883-1887 | 90 | 92 | .495 | 3.16 | 223 | 180 | 131 | 10 | 0 | 1592.2 | 1678 | 560 | 39 | 385 | 734 |
| Phil Hull | 1883-1885 | 3 | 2 | .600 | 1.50 | 40 | 0 | 0 | 0 | 3 | 66.0 | 55 | 11 | 0 | 10 | 18 |
| Bobby Hyman | 1884-1889 | 23 | 48 | .324 | 4.88 | 142 | 63 | 28 | 1 | 5 | 586.0 | 616 | 318 | 20 | 230 | 213 |
