Correct! The patients hoped to be visited by Asclepius, and/or his sacred snakes, in a dream. If they were lucky he would speak to them and either bring about an overnight cure or suggest a regimen that would restore their health. Sometimes people would hang around the sanctuary for several days, waiting.

Although this was a Greek practice, the word "incubation" comes from the Latin word incubare, which means "to lie upon." A small private room, such as a bedroom, was called a cubiculum in a Roman household.