This section is from the book "Anatomy Of The Arteries Of The Human Body", by John Hatch Power. Also available from Amazon: Anatomy of the Arteries of the Human Body, with the Descriptive Anatomy of the Heart.
The Meningeal Branch ascends between the carotid artery and jugular vein, and supplies these vessels, the pneumogastric nerve, the Eustachian tube, the rectus capitis anticus and longus colli muscles. It then passes through the foramen lacerum posterius to ramify on the dura mater, having previously sent a small branch into the cranium through the cartilaginous substance that fills the foramen lacerum anterius.
This artery is not very liable to accident, on account of its deep situation. Scarpa, however, relates a case in which it was ruptured.