I don't really understand what "prayer book" means in this instance.
In my understanding a prayer book can refer to either (1) a notebook specifically used to list things to pray for, or (2) a book with liturgical(formal) prayers for use at certain times end events.
The text quoted in the article seems to detailed for (1) and too specific for (2). Maybe I'm looking at this from a too Christian perspective? Do prayer books have a different meaning in Judaism?