There have been two baronetcies created for members of the Barkham family, both in the Baronetage of England.
The Barkham Baronetcy, of South Acre in the County of Norfolk, was created in the Baronetage of England on 26 June 1623 for Edward Barkham, later Member of Parliament for Boston.
He was the son of Sir Edward Barkham (d. 1634), Lord Mayor of London from 1621 to 1622.
He died without male issue and was succeeded by his younger brother, William, the third Baronet.
He was the son of Sir Robert Barkham, younger brother of the first Baronet of South Acre.