There are theories that claim the actual shrine to be either Izumo-Inoe-jinja Shrine (Shikinai-taisha) or Izumo-Takano-jinja Shrine (Shikinai-shosha) which are listed in the Jimmyocho (the list of deities) of Engishiki (codes and procedures on national rites and prayers), but continuity is unclear and the history record held at the shrine makes no reference to these shrines from the Engishiki.
なお、延喜式神名帳に記載される出雲井於神社（式内大社）や出雲高野神社（式内小社）を当社に比定する説もあるが、継続性は不詳であり、神社側の由諸ではこれらの式内社について言及していない。