On his death in 1854 the title passed to his eldest surviving son, Anchitel, the eighth Baronet.

In 1858 he was found by the House of Lords to be a co-heir to the ancient barony of Grandison, which had been in abeyance since 1375.

He was childless and on his death in 1944 the title passed to his younger brother, Fleetwood, the eleventh Baronet.

Another member of the family to gain distinction was Sir Cromer Ashburnham (1831–1917), youngest son of the seventh Baronet.

The heir apparent is the present baronet's son Levent John Ashburnham (born 2013).