As nouns the difference between wandering and haunting
is that
wandering is travelling with no preset route; roaming while
haunting is a particular instance of haunting; a ghostly habitation.
As verbs the difference between wandering and haunting
is that
wandering is present participle of lang=en while
haunting is present participle of lang=en.
As an adjective wandering
is which wanders; travelling from place to place.