Portland in a Snap has a report on the Fortune Cookie Museum at Wok Inn.
According to the info in this mini-exhibition, the earliest Chinese fortunes were discovered in 1899 on fossilized ox and tortoise bones. Markings on these bones were made during the Shang Dynasty (1766-1122 BC). It’s pretty common knowledge that fortune cookies are a Western invention, but according to this display they claim a colorful place in history.