The definition of an objective complement is a noun, adjective or pronoun that works with a verb and names a direct object.
An example of objective complement is "We named the child Frank."
a word or group of words used in the predicate of a sentence as a modifier or qualifier of the direct object (Ex.: president in “We elected him president”)
A noun, adjective, or pronoun serving as a complement to a verb and qualifying its direct object, as governor in They elected him governor.