Used by Eugene O'Neill in Mourning Becomes Electra as a deliberate link, it has been suggested, with Greek Orestes. More often spelt Orrin when used in modern times. Oren also occurs, and there may be confusion with Oran. George Bernard Shaw invented the feminine name Orinthia in The Apple Cart, two years before O'Neill's play. In the 17th century the poet Cowley made use of another feminine name which appears to belong to the same group, Orinda (though this may have been a shortening of Dorinda). (Source: Dunkling & Gosling, 1983)
From Rin combined with an o kanji, e.g. 緒 meaning "cord, strap," also used as an honorific version of that name, prefixed with 御/お- (o), used with regards to female names from around the Kamakura and Muromachi periods to around the 20th century.Disregarding the honorific usage, this name is extremely rare.