Anne Douglas-Hamilton, 2nd Countess of Orkney (died 1756) was a Scottish noblewoman and the eldest daughter of Field Marshal George Hamilton, 1st Earl of Orkney, and Elizabeth Villiers.
She was also known as Anne O'Brien, Countess Inchiquin through marriage with her first cousin William O'Brien, 4th Earl of Inchiquin, the O'Brien, Chief of the Name, Prince of Thomond, and Lord of Dál gCais. They had a daughter Lady Mary circa. 1721.
| Peerage of Scotland | ||
|---|---|---|
| Preceded by George Douglas-Hamilton |
Countess of Orkney 1737-1756 |
Succeeded by Mary O'Brien |