It must be remembered that any verbal may have an object; but for the present we speak of the object of the verb, and by object we mean the direct object.
Indirect object.
(2) The INDIRECT OBJECT is a noun or its equivalent used as the modifier of a verb or verbal to name the person or thing for whose benefit an action is performed.
Examples of direct and indirect objects are, direct, "She seldom saw her course at a glance;" indirect, "I give thee this to wear at the collar."
Complement:
344. A complement is a word added to a verb of incomplete predication to complete its meaning.
Notice that a verb of incomplete predication may be of two kinds,—transitive and intransitive.
Of a transitive verb.
The transitive verb often requires, in addition to the object, a word to define fully the action that is exerted upon the object; for example, "Ye call me chief." Here the verb call has an object me (if we leave out chief), and means summoned; but chief belongs to the verb, and me here is not the object simply of call, but of call chief, just as if to say, "Ye honor me." This word completing a transitive verb is sometimes called a factitive object, or second object, but it is a true complement.
The fact that this is a complement can be more clearly seen when the verb is in the passive. See sentence 19, in exercise following Sec. 364.