READING ACTS: A Star Will Shine – Sibylline Oracles Book 5.1-154. I am not entirely persuaded that Book 5 of the Sibylline Oracles is a Jewish composition. It may be, but it could also be by a Jewish Christian or a gentile "God-fearer." See my book, The Provenance of the Pseudepigrapha (Brill, 2005), pp. 186-189, for discussion.
Past posts in the series on the Sibylline literature are noted here and links. Cross-file under Old Testament Pseudepigrapha Watch.