| # | Name | Origin | Meaning | Gender | |
|---|---|---|---|---|---|
| 1561 | Rogan | Irish | Red haired. | M | |
| 1562 | Rohan | Irish | Red-haired; red. | M | |
| 1563 | Roibeard | Irish | Robin. | M | |
| 1564 | Roibin | Irish | Robin. | M | |
| 1565 | Rois | Irish | Horse. | F | |
| 1566 | Ronan | Irish | Little seal. | M | |
| 1567 | Rooney | Irish | Hero. | M | |
| 1568 | Rorey | Irish | Red. Sixteenth-century rebel chief Rory O'More is celebrated in Irish poetry. | M | |
| 1569 | Rorke | Irish | Famous ruler. | M | |
| 1570 | Rorry | Irish | Red. Sixteenth-century rebel chief Rory O'More is celebrated in Irish poetry. | M | |
| 1571 | Rory | Irish | Red. Sixteenth-century rebel chief Rory O'More is celebrated in Irish poetry. | M | |
| 1572 | Rourke | Irish | An ancient given name adopted as an Irish clan name. Surname. | M | |
| 1573 | Rowan | Irish | Red haired Surname. | M | |
| 1574 | Rowe | Irish | Red haired. | M | |
| 1575 | Rowen | Irish | Red haired. | M | |
| 1576 | Rowin | Irish | Red haired. | M | |
| 1577 | Rowyn | Irish | Red haired. | M | |
| 1578 | Royan | Irish | Red-haired; red. | M | |
| 1579 | Ruadhagan | Irish | Red haired. | M | |
| 1580 | Ruadhan | Irish | Name of a saint. Red haired. | M | |