A tower named Oldhall is marked on Pont’s late 16th century map and may represent a castle at what is now Halls of Airth.
Earlier in the 16th century the lands of Halls of Airth were held by the Livingston family.
I have placed the site of the tower at Halls of Airth farmhouse pending further research.
Alternative names for Halls of Airth
Hall of Airth; Hallis of Arth'; Haughs of Airth; Old hall; Oldhall; Oldhalt