| Registered Name | Owner / Club | Status |
|---|---|---|
| Herculien Sange (SF) | Helen Walker Nantwich (BRC) | Approved |
| Here Comes Lucy | Ruth Daunt Ballycanew | Approved |
| Herecomesharry (GB) | Deirdre O'Brien Headfort | Approved |
| Heritiere Des Cabanes | Anne Dickinson Castle Hill | Approved |
| Heros Silver | Michelle Murray Galway West | Approved |
| Hes A Buck | Glynis Morgan Benbulben | Approved |
| Hes A Dandy | Patricia Warren Donegal Gaeltacht | Approved |
| Hes Da Man | Claire Wylie Inishowen | Approved |
| Hes Just Dandy | Fiona Lee Enniskerry | Approved |
| Hey Boss | Sonia O' Brien Calliaghstown | Approved |
| Hey Lad | Denise Hanrahan Coolbell | Approved |
| Hey Paddy Boy | David Finn North Cork | Approved |
| Hey There Delilah | Anthony Byrne Calliaghstown | Approved |
| Hey, Buster | Melanie Love Mullingar | Approved |
| HHO Rachel 00194 | Josephine Peters Clonshire | Approved |