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early 13c., "to practice habitually, busy oneself with, take part in," from Old French hanter "to frequent, resort to, be familiar with" (12c.), probably from Old Norse heimta "bring home," from Proto-Germanic *haimat-janan, from *haimaz- (see home). Meaning "to frequent (a place)" is c.1300 in English. Use in reference to a spirit returning to the house where it had lived perhaps was in Proto-Germanic, but it was reinforced by Shakespeare's plays, and it is first recorded 1590 in "A Midsummer Night's Dream." Related: Haunted; haunting. Middle English hauntingly meant "frequently;" sense of "so as to haunt one's thoughts or memory" is from 1859.
"place frequently visited," c.1300, also in Middle English, "habit, custom" (early 14c.), from haunt (v.). The meaning "spirit that haunts a place, ghost" is first recorded 1843, originally in stereotypical U.S. black speech.