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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| David Hamilton | 1897-1897 | 24 | 10 | .706 | 2.26 | 45 | 39 | 32 | 5 | 0 | 350.0 | 268 | 88 | 2 | 140 | 148 |
| Ellis Harding | 1890-1890 | 4 | 6 | .400 | 3.66 | 25 | 10 | 8 | 0 | 0 | 120.1 | 136 | 49 | 1 | 49 | 35 |
| Christopher Harvey | 1890-1894 | 7 | 6 | .538 | 2.24 | 69 | 0 | 0 | 0 | 5 | 116.2 | 107 | 29 | 1 | 37 | 60 |
| Sean Hawkins | 1892-1897 | 34 | 36 | .486 | 4.74 | 107 | 77 | 41 | 2 | 2 | 623.0 | 587 | 328 | 49 | 482 | 336 |
| Fred Hayner | 1892-1896 | 66 | 53 | .555 | 3.85 | 154 | 152 | 32 | 4 | 0 | 1153.1 | 952 | 493 | 80 | 876 | 1034 |
| Anlon Healy | 1890-1890 | 3 | 0 | 1.000 | 2.05 | 16 | 0 | 0 | 0 | 1 | 26.1 | 23 | 6 | 0 | 15 | 10 |
| Brannan Henderson | 1897-1897 | 3 | 0 | 1.000 | 1.42 | 10 | 0 | 0 | 0 | 1 | 19.0 | 18 | 3 | 1 | 5 | 9 |
| John Henderson | 1890-1897 | 136 | 166 | .450 | 3.55 | 340 | 322 | 229 | 9 | 0 | 2705.1 | 2957 | 1066 | 14 | 1038 | 673 |
| Marvin Heritage | 1890-1890 | 1 | 3 | .250 | 5.75 | 16 | 0 | 0 | 0 | 1 | 20.1 | 29 | 13 | 2 | 10 | 10 |
| Abelardo Hernández | 1896-1896 | 0 | 1 | .000 | 5.25 | 6 | 0 | 0 | 0 | 0 | 12.0 | 11 | 7 | 1 | 4 | 5 |
| Ernesto Hernández | 1896-1896 | 11 | 20 | .355 | 3.58 | 33 | 33 | 19 | 2 | 0 | 273.2 | 231 | 109 | 11 | 189 | 148 |
| Denzel Hicks | 1893-1897 | 12 | 11 | .522 | 2.78 | 87 | 0 | 0 | 0 | 19 | 126.1 | 106 | 39 | 2 | 49 | 129 |
| Billy Hill | 1890-1897 | 66 | 75 | .468 | 3.61 | 265 | 155 | 93 | 7 | 0 | 1445.1 | 1493 | 580 | 58 | 702 | 667 |
| Konan Hill | 1890-1897 | 30 | 35 | .462 | 4.49 | 152 | 36 | 15 | 1 | 9 | 426.2 | 438 | 213 | 25 | 225 | 193 |
| Bernard Holden | 1897-1897 | 24 | 13 | .649 | 2.55 | 40 | 40 | 33 | 4 | 0 | 350.0 | 342 | 99 | 2 | 99 | 170 |
| Liam Holmes | 1897-1897 | 4 | 1 | .800 | 3.03 | 16 | 0 | 0 | 0 | 0 | 29.2 | 34 | 10 | 1 | 6 | 17 |
| Aaron Hoole | 1895-1897 | 3 | 3 | .500 | 3.72 | 25 | 0 | 0 | 0 | 0 | 29.0 | 35 | 12 | 0 | 13 | 12 |
| Lewis Hopkins | 1890-1897 | 143 | 172 | .454 | 3.22 | 353 | 321 | 249 | 13 | 0 | 2788.1 | 2834 | 998 | 18 | 964 | 1077 |
| Richard Howlett | 1896-1897 | 2 | 0 | 1.000 | 1.89 | 11 | 0 | 0 | 0 | 0 | 19.0 | 13 | 4 | 0 | 2 | 11 |
| Evan Hughes | 1890-1896 | 136 | 100 | .576 | 2.46 | 284 | 236 | 199 | 22 | 14 | 2085.1 | 1913 | 571 | 37 | 510 | 1311 |
| Rhys Hunter | 1894-1897 | 3 | 3 | .500 | 1.73 | 29 | 0 | 0 | 0 | 2 | 41.2 | 39 | 8 | 0 | 6 | 25 |
| Roodan Hunter | 1890-1893 | 77 | 73 | .513 | 3.43 | 173 | 157 | 96 | 7 | 0 | 1295.0 | 1247 | 494 | 49 | 517 | 342 |
