The current kanji spelling for Ryōi Shintō-ryū is 良移心当流. However, previously the now defunct character 'tō' 當 was used in older Japanese, but it has now been replaced 'tō' 当. As such, Ryōi Shintō-ryū would originally have been written as 良移心當流.

Other variants over time have been; Shintō yawara 心當和 and Shintō Yawara 神当和 (used by the Nagahama 長浜 branch). Sometimes, Fukuno-ryū 福野流, using the founder's name instead of the name of the school was also used.

In addition to the above, it also seems that a shortened form of Tō-ryū (當流) was also used. This can be evidenced by the Tōryu Iai Nuki no Maki (當流居合抜之巻 - sword drawing scroll) which is the third scroll together with the Ryōi Shintō Battō (sword drawing) mokuroku (良移心當抜刀目録), as pictured below.

There is also Tō-ryū Torite Ka mokuroku (當流捕手歌目録 - hand / arm capturing (song) scroll), also picture below. It is signed / sealed by Fujiwara Ichidaka (藤原一高) in 1831 (Tenpō era 2) and Fujiwara Ichitatsu (藤原一辰) in 1870 (Meiji 3).

It is said that Ryōi Shintō-ryū founder Fukuno learnt both Torite no jutsu (or Hoshu no jutsu - hand capturing art 捕手之術) and Kenpō’ (拳法 – fist striking method) from the Chinese Monk - Chin Gempin between 1626 & 1627.