| Registered Name | Owner / Club | Status |
|---|---|---|
| Heidi Mountain Girl | Lisa Carnegie Long Acre | Approved |
| Heidi Reidy | Emily Vial Clonshire | Approved |
| Heigh Ho Casper | Patricia Molloy Thomastown and District | Approved |
| Heigh Ho Rosey | Nadine Taylor Killcarrick | Approved |
| Heigh Ho Troy | Carol Mulvihill Mosstown | Approved |
| Heisacoolhand (IRE) | Dot Love Mullingar | Approved |
| Helena Misty Eve | Dearbhle Creagh Benbulben | Approved |
| Hellena Boy | John O'Flynn North Cork | Approved |
| Hello Ginger | Conrad McGuinness Gap of the North | Approved |
| Hello Juno | Hannah Jones Calliaghstown | Approved |
| Hello Miss Moneypenny | Kate Harrison Killcarrick | Approved |
| Hello T Jay | Helen Turnbull Castle Leslie | Approved |
| Helluvaguy | Karen MacGrath Sarsfield | Approved |
| Helpisontheway (IRE) | Cathy Sayers Drynam | Approved |
| Heno | Aileen Byrne Oakleaf | Approved |