The Batemans of Hartington Hall were the senior branch of the family; Sir Hugh had no sons, so the baronetcy was created with a special remainder allowing the male heirs of his two daughters to succeed.
On 14 February 1815 his elder daughter Catherine Juliana married Edward Scott (later Sir Edward, 2nd Baronet, of Great Barr; see Scott baronets of Great Barr), and on 3 August the same year his younger daughter Amelia Anne married Sir Alexander Hood, 2nd Baronet, of St Audries (see Fuller-Acland-Hood baronets of St Audries).
[1] On Sir Hugh Bateman's death on 28 January 1824 his title passed to his elder daughter's unborn child, born on 25 February the same year with the name Francis Edward Scott;[1] while Hartington Hall passed to his nephew Richard Thomas Bateman, whose descendants occupied the property until the 20th century.
The Scott baronetcy of Great Barr was inherited by Douglas Edward Scott; while the baronetcy of Hartington was inherited by Sir Alexander Fuller-Acland-Hood, 4th Baronet, of St Audries, who became the fifth Baronet.
He was the grandson of Sir Alexander Hood, 2nd Baronet, and his wife Amelia Anne Bateman.