You are confusing present participles (which end in -ing ) with verb tenses. None of your three examples has a form of to be before the -ing form, so none of them is a continuous tense. anything belonging to her .
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AnonymousHe saw a man having lunch.This is the use of "see" as a catenative verb. It may be better to think of 'having lunch' as the predicate of 'a man' rather than as a participial construction. Both "see" and "hear" can take a non-finite clause either in base form or in the -ing form.