Archibald, the first Earl, was the fourth and youngest son of Sir Archibald Primrose, 1st Baronet, a Lord of Session under the title Lord Carrington, whose eldest son William was the father of James Primrose, who was created Viscount of Primrose in 1703. Archibald had already been created Lord Primrose and Dalmeny and Viscount of Rosebery in 1700, with remainder to his issue male and female successively, and in default thereof to the heirs of entail in the lands of Rosebery, and was made Lord Dalmeny and Viscount of Inverkeithing at the same time as he was given the earldom. These titles were also in the Peerage of Scotland. He was succeeded by his son, the second Earl. In 1741, on the death of his cousin Hugh Primrose, 3rd Viscount Primrose, he succeeded as fifth Baronet, of Carrington. His son, the third Earl, sat in the House of Lords as a Scottish Representative Peer from 1768 to 1784. He was succeeded by his son, the fourth Earl. He represented Helston and Cashel in the House of Commons of the United Kingdom and served as Lord Lieutenant of Linlithgowshire. In 1828 he was created Baron Rosebery, of Rosebery in the County of Edinburgh, in the Peerage of the United Kingdom, which gave him and his descendants an automatic seat in the House of Lords. His grandson, the fifth Earl, was a prominent Liberal politician. He served as Foreign Secretary in 1886 and between 1892 and 1894 and as Prime Minister of the United Kingdom between 1894 and 1895. In 1911 he was honoured when he was created Baron Epsom, of Hyde in the County of Surrey, Viscount Mentmore, of Mentmore in the County of Buckingham, and Earl of Midlothian, in the Peerage of the United Kingdom. Lord Rosebery was married to Hannah de Rothschild, the wealthy daughter and heiress of Baron Mayer Amschel de Rothschild. Their eldest son, the sixth Earl, represented Midlothian in Parliament from 1906 to 1910 but then did not take an active part in politics until the 1940s, when he served in Winston Churchill's1945 caretaker government as Secretary of State for Scotland. He was also Chairman of the National Liberal Party from 1945 to 1947. Since 1974 the titles are held by his son, the seventh Earl. The heir apparent to the earldom is usually styled Lord Dalmeny, but the current Earl, while heir apparent to his father, the sixth Earl, was styled Lord Primrose instead, to avoid using the same courtesy title as his elder half-brother, Archbald Ronald Primrose, who had been styled Lord Dalmeny before his death in 1931. The current heir has returned to the usual practice and is styled Lord Dalmeny. in Scotland, the family seat of the earls of Rosebery in England, built for the Rothschilds and inherited by the earls of Rosebery through Hannah de Rothschild The family seat is Dalmeny House, near Dalmeny, West Lothian in Scotland and until 1977 also resided at Mentmore Towers, near Mentmore, Buckinghamshire in England.
The heir apparent is the Earl's son Harry Ronald Neil Primrose, Lord Dalmeny. The heir apparent's heir apparent is Albert Caspian Harry Primrose, Master of Dalmeny.
Horse racing
The Earl has his own horse-racing colours: primrose with rose hoops and a rose cap. These were registered in 1868.