From the GRO indices:
CHESTER, HUGH MALCOLM YoB 1929
GRO Reference: DOR Q1/2019 in NORTH SOMERSET (307-1C) Entry Number 518502440
He was the son of Henry Montagu Bagot CHESTER (1896 - 1969), scion in the male line of the BAGOT barons, and Alyce Amy Maude TRANCHELL (died 1934). He m 1972 (as her 2nd h) Pauline Lillian BUTT (nee NICHOLLS).
I believe he was lately second heir to BAGOT baronetcy (E 1627), held by his kinsman 10th Baron Bagot, as a male line descendant of Sir Walter BAGOT, 5th Baronet (1702 - 68).
I've gone through the heirs of DB 2008 & thepeerage:
10th Baron Bagot & 15th Baronet (born 1944)
Richard Charles Villiers BAGOT (1941 - 2015)
Julian William D'Arcy BAGOT (born 1943), hp to barony & baronetcy
In remainder to baronetcy only
John Greville Bagot CHESTER (1925 - 2011)
Greville Derrick Bagot CHESTER (1925 - 1989)
Hugh Malcolm CHESTER, of whom we treat.
Roderic Harry ST LEGER (1919 - 2002)
I believe with this death there are no further heirs to the baronetcy after the 10th Baron and his hp.