| # | Name | Origin | Meaning | Gender | |
|---|---|---|---|---|---|
| 721 | Harrington | Irish | Surname. | M | |
| 722 | Hayes | Irish | Surname. | M | |
| 723 | Heber | Irish | Surname. | M | |
| 724 | Hegarty | Irish | Unjust. | M | |
| 725 | Hennessy | Irish | Surname. | M | |
| 726 | Hickey | Irish | Healer. | M | |
| 727 | Hiero | Irish | Name of a saint. | M | |
| 728 | Higgins | Irish | Intelligent. | M | |
| 729 | Hogan | Irish | Youth Surname. | ||
| 730 | Hoireabard | Irish | Soldier. | M | |
| 731 | Hrothrehr | Irish | Famous ruler. | M | |
| 732 | Hughes | Irish | Surname. | M | |
| 733 | Hungas | Irish | One vigor. | M | |
| 734 | Hurley | Irish | Sea tide. | M | |
| 735 | Ighneachan | Irish | Variant of Eigneachan: Strong man. | M | |
| 736 | Inerney | Irish | Steward of church lands. | M | |
| 737 | Inis | Irish | From the river island. | M | |
| 738 | Iniss | Irish | From the river island. | M | |
| 739 | Innes | Irish | From the river island. | M | |
| 740 | Innis | Irish | From the river island. | M | |