:words reference(KAMI,YAOYOROZU NO KAMI,HOKORA.) 

 :It is said that the  bathhouse is for "Yaoyorozu no Kami(shinto gods)" by Yubaba. 

 :"Nigihayami Kohakunushi" is KAMI(shinto god)" like name by Chihiro. 

 :Visual reference(Torii,Hokora,Shinade,Miko,Shinto priest costume)