| # | Name | Origin | Meaning | Gender | |
|---|---|---|---|---|---|
| 561 | Harriette | French | Rules the home. | F | |
| 562 | Hedvige | French | Fighter. | F | |
| 563 | Heidi | French | Variant of Adelaide: Nobility. French form of the Old German Adalheidis, a compound of 'athal' (noble) and 'haida' (hood). Adelaide, the capital of South Australia, was named after Queen Adelaide, 19th century King William IV's consort. | F | |
| 564 | Helaine | French | Variant of Helen. In mythology the abduction of Zeus's mortal daughter Helen sparked the Trojan War. | F | |
| 565 | Helene | French | Variant of Helen. In mythology the abduction of Zeus's mortal daughter Helen sparked the Trojan War. | F | |
| 566 | Heloise | French | Derived from the Old German name Helewidis, meaning hale and wide. Also a French form of Louise. | F | |
| 567 | Hennie | French | Diminutive of Henrietta: Keeper of the hearth. Rules her household. From Henriette, the French feminine form of Henry. | F | |
| 568 | Henny | French | Diminutive of Henrietta: Keeper of the hearth. Rules her household. From Henriette, the French feminine form of Henry. | F | |
| 569 | Henrietta | French | Keeper of the hearth. Rules her household. From Henriette, the French feminine form of Henry. | F | |
| 570 | Henriette | French | Keeper of the hearth. | F | |
| 571 | Hettie | French | From Henrietta. Rules her household.. | F | |
| 572 | Hetty | French | Diminutive of Henrietta: Keeper of the hearth. Rules her household. From Henriette, the French feminine form of Henry. | F | |
| 573 | Hilaire | French | French form of Hilary: Joyful; glad.. | F | |
| 574 | Holly | French | Shrub. | F | |
| 575 | Honore | French | Honor. Good name and integrity. | F | |
| 576 | Hortense | French | French Variant of Hortensia, from the feminine form of the Roman clan name Hortensius. | F | |
| 577 | Huette | French | Feminine form of Hugh. | F | |
| 578 | Hugette | French | Feminine form of Hugh. | F | |
| 579 | Huguetta | French | Feminine form of Hugh. | F | |
| 580 | Ila | French | From the island. | F | |