If the terror wakes the sleeper up, they may recall a single image of terror but if they fall back to sleep there is unlikely to be any recall of the feeling.
If you or someone you know experiences more than three or four episodes of night terror a month, then you or they might be suffering from an anxiety disorder. It is important to consult a doctor if this is the case. Night terrors tend to be most common in children between the ages of three and eight, and most sleep experts urge parents and carers not to rush to their child to try and wake and comfort them as this can intensify or aggravate the night terror. You should instead let the night terror run its course and the child will rarely recall the event in the morning. There is not much evidence that night terrors reflect deep psychological problems and occasional night terrors are considered quite normal in young children.
See Sleep paralysis, Incubus, succubus entries in SPIRITS AND GHOSTS.