Thank you for your thorough explanation. May I send another interpretation of a native English teacher? I need your to confirm it:
It might help to simplify the active and passive sentences and return to basics:
(1) Many bird-watchers consider the eastern bluebird an attractive bird.
(2) The eastern bluebird is considered an attractive bird by many bird-watchers.
In (1), ‘many bird-watchers’ is the subject, ‘consider’ is the verb and ‘the eastern bluebird’ is the object.
In (2), ‘the eastern bluebird’ is the subject, ‘is considered’ is the verb, ‘an attractive bird’ is the complement (or subject predicative) and ‘by many bird-watchers’ is the agent.
David has provided you with a perfect explanation as to why "an attractive bird native to this continent" is not a subject complement, but a retained object complement. On the surface, the complement refers to the subject, but considering that the subject in the passive is the object in the active, it actually refers to the object. If you say it is a subject complement, you miss the importance of the verb "consider": the sentence does not say that the bird is an attractive bird native to this continent, but that it is considered an attractive bird native to this continent.
With other complex-transitive verbs in the passive voice, the object-object complement relationship is even clearer:
- He was made a king (They made him a king)
I think "an attractive bird native to this continent" would be the subject complement if "to be" were added:
- The eastern bluebird is considered to be an attractive bird native to this continent by many bird-watchers. (Many bird watchers consider that the eastern bluebird is an attractive bird native to this continent).
With this addition, I'd feel inclined to place the agent immediately after the verb in the passive:
- The eastern bluebird is considered by many bird-watchers to be an attractive bird native to this continent.
Although the sentence with "to be" is similar to the original one in meaning, it is syntactically different.