The woman isn't an act of crying (noun); and the crying doesn't modify "seem" (adverbial). So I would take "seem" as copulative, and the infinitive structure as adjectival: it describes the woman. I expect other interpretations are possible, though.
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English 1b3The woman seemed to have been crying.This example stretches the traditional system of grammar to the limit.
Infinitives function as nouns, adjectives or adverbs. What is the one in bold? A direct object/noun?
English 1b3Do bare infinitives function as nouns, adjectives or adverbs? (I don't think so)Well, there's this:
Gleb_ChebrikoffThis kind of structure is called subject-to-subject raising.Warning: Off-topic.