↑Gagouji would refer to Gangoji, a temple that Soga no Umako built, which was known to be haunted by an evil spirit called Gagoze, killing apprentices. There was a tale that tells of a child given to a farmer by a thunder god, who, upon growing up, once got rid of Gagoze from Gangoji. Refer to Touhou and Japanese culture#Gagoze for more details.
↑ 2.02.1雨の磐舟 is a pun of 天の磐船 "ame no iwafune". According to legend, Nigihayahi no Mikoto, the founding father of the Mononobe clan, descended from heaven in the rock ship "Ame no Iwafune".
↑Haibutsu Kishaku, the anti-Buddhism campaigns that happened several times in Japan's history, in which many temples and statues were burned
↑Sakuraiji, built by Soga no Iname (Tojiko's grandfather), was said to be Japan's first proper Buddhist temple, but it was burned down by the anti-Buddhist Mononobe clan.
↑ 5.05.15.25.3A seidoujo (聖童女) is a girl before her first period (around ten-year-old) who is tasked to serve food to the sun goddess, Amaterasu. Oomonoimi-no-Kami (大物忌神) is a god of purification and protector of Japan, who is believed to be the same as Toyoukebime, an important goddess of agriculture and food who serves food to Amaterasu.