I was unable to turn up the Ritual and it could be it can't be. Arthur Edward Waite, in his "New Encyclopedia of Freemasonry", had this to say:
". . . an important officer of the Order once gave me the benefit of his knowledge on two salient points: (1) the the Rituals were compiled by [John} Yarker, in conjunction with the dignitary of the ORDER OF LIGHT, and (2) that their whole story is spurious. As appears, however, by the Epitome in my possesion, the SAT B'Hair is connected with the name of Portman and it would appear therefore he borrowed the services of Yarker to make up the Rituals, as he obtained similar assistance from the Chevalier Robert Palmer-Thomas to produce those of the original ORDER OF LIGHT."
That's the most complete contemporary mention I can find about Ritual for this order, so it could be not many copies were made and still exist.
Perhaps someone far more knowledgeable than me (should be lots of such folks) could post something more definative; perhaps even how to obtain the Ritual.
--Bro. Karen, 3° DISCLAIMER: I am not authorized to speak for my Obedience but am happy to offer personal opinions and observations. An authorized spokesperson for my Obedience may be contacted at the offices in Larkspur, CO.