Admittedly this is a long-shot, but I hope someone might know the answer.
Sidney Clark and Adolph Blind's book 'The Bibliography of Conjuring and Kindred Deceptions' (1920) cites a single reference to a book on the cups and balls. The reference cited is a 16-page booklet (no author, no date). Those with access to 'AskAlexander' can find this.
I wondered if anyone knows what book this refers to - even who wrote it and when it was published.
I have a very old 16-page typed booklet (undated; no author) that might fit this description and wondered whether they might be one and the same.
I'd be happy to e-mail a picture of the cover of the booklet to anyone who's curious.