There have been two creations of baronets with the surname Orr-Ewing, both in the Baronetage of the United Kingdom. The first was created for Archibald Orr-Ewing on 8 March 1866. The second was created for the first baronet of the first creation's great-grandson, Ian Orr-Ewing on 27 June 1963.
The Heir Apparent is Alastair Frederick Archibald Orr-Ewing (b 1982)
The Heir Apparent is Archie Cameron Orr-Ewing, (b. 1969) who has male issue.