The Campbell, later Cockburn-Campbell Baronetcy, of Gartsford in the County of Ross, is a title in the Baronetage of the United Kingdom. It was created on 3 July 1821 for Lieutenant-General Alexander Campbell, with remainder, in default of male issue of his own, to 1) the male issue of his daughter Olympia, failing which 2) to the male issue of his daughter Isabella Charlotte. He had already been created a baronet on 6 May 1815, with normal remainder to heirs male. Campbell had earlier fought at the Battle of Seringapatam in 1799 and commanded a division during the Peninsular War. The creation of 1815 became extinct on his death in 1824 while he was succeeded in the 1821 creation by Alexander Thomas Cockburn, who assumed the additional surname of Campbell the same year. The fourth Baronet was President of the Legislative Council of Western Australia. The sixth Baronet was the author of the autobiography "Land of Lots of Time".

The family surname is pronounced "Coburn-Campbell".