Francis George Godolphin D'Arcy D'Arcy-Osborne, 7th Duke of Leeds (21 May 1798 – 4 May 1859), styled Earl of Danby from birth until 1799 and Marquess of Carmarthen from 1799 until 1838, was a British peer and politician.
Osborne was the son of George Osborne, 6th Duke of Leeds and his wife, Charlotte, a daughter of George Townshend, 1st Marquess Townshend.
As Marquess of Carmarthen, he held the parliamentary seat of Helston from 1820 to 1830 and on 2 July 1838, was summoned to the House of Lords in his father's barony of Osborne. A few weeks later, he inherited his father's dukedom and added the name of D'Arcy to his surname by Royal Licence in 1849.
On 24 April 1828, the duke married Louisa Catharine Hervey-Bathurst (the widow of Sir Felton Hervey-Bathurst, 1st Baronet and third daughter and co-heiress of Richard Caton of Maryland). The couple had no children and on his death in 1859, his titles passed to other members of his family: the dukedom of Leeds to his cousin, the 2nd Lord Godolphin and the baronies of Darcy de Knayth and Conyers and the Portuguese countship of Mértola to his nephew, Sackville Lane-Fox.
The 7th Duke of Leeds and his Duchess are buried in the Osborne family chapel at All Hallows Church, Harthill, South Yorkshire.