There have been a number of creations of baronetcies with the surname Inglis. They are listed in order of creation.
Created in the Baronetage of Nova Scotia
Sir James Inglis, 1st Baronet
Sir John Inglis, 2nd Baronet
Sir Adam Inglis, 3rd Baronet
Sir John Inglis, 4th Baronet
Sir Patrick Inglis, 5th Baronet Lived at Sunnyside. Painted by Henry Raeburn
Dormant
Created in the Baronetage of Nova Scotia.
Sir Kenneth Mackenzie, 1st Baronet
Sir Alexander Mackenzie, 2nd Baronet
Sir Alexander Mackenzie, 3rd Baronet
Sir Hector Mackenzie, 4th Baronet
Sir Francis Alexander Mackenzie, 5th Baronet
Sir Kenneth Smith Mackenzie, 6th Baronet
Sir Kenneth John Mackenzie, 7th Baronet
Sir Hector David Mackenzie, 8th Baronet
Sir Maxwell Ian Hector Inglis, 9th Baronet
Sir Roderick John Inglis, 10th Baronet
Extant
Created in the Baronetage of the United Kingdom.
Sir Hugh Inglis, 1st Baronet (1744 - 1820)
Sir Robert Harry Inglis, 2nd Baronet (1786 - 1855)
Extinct
Inglis baronets Wikipedia (Text) CC BY-SA