Paul, thanks for this information.
Although DPB Online has not yet updated this page, the line of succession is very short. The new (5th) Baron appears to be the late baron's younger brother, Hon. Ion Henry James (b. 1956). He is shown as being unmarried.
The only others in the line of succession are a pair of brothers. They are the sons of the 4th and 5th barons' late brother, Hon. Evelyn William James (1961-2005).
1. ROSS ANDREW JAMES, b. 1990, heir presumptive to his uncle, unmarried.
2. Jack Peter Hans, b. 1994 (brother of #1), unmarried.
The 4th Baron had 1 son, James Hans Stephen, b. 1982, who was born the year prior to his parents' marriage, and is therefore ineligible to succeed.
Brooke
late baron had a son, James Hans Stephen, b. 1982, but he was born a year before his parents' marriage