Heritage may stand for property handed over to an heir.
Heritage may mean tradition.
Heritage may mean something that is transmitted by or acquired from a predecessor.
UNESCO provides grant for sites that have been designated as “Unesco Heritage Site”.
Yangon Heritage Trust has recognized SPHS (St. Paul’s High School), St. John’s College (originally called St. John’s Diocesan [Boys] School), Myoma National School and MEHS (Methodist English High School) as Heritage Sites.
In the USA, some sites and buildings are deemed to be “historic” (e.g. 150+ years old). Restrictions are placed on how to upgrade them.