Lancaster ground inherited from one’s forebears (9)
I believe the answer is:
ancestral
'inherited from one's forebears' is the definition.
'lancaster ground' is the wordplay.
'ground' is an anagram indicator (grind the letters ).
'lancaster' with letters rearranged gives 'ANCESTRAL'.
(Other definitions for ancestral that I've seen before include "To do with forebears, say stately home" , "Hereditary" , "inherited from forebears" , "by old relations" , "handed down by family" .)