In Spokane, in the context of a (possessive) applicative suffix on the verb, but not otherwise, the possessor of the direct object can control object agreement on the verb, rather than the direct object itself. Agreement features are person and number. Evidence for constituency of possessors controlling agreement and possessed nouns arguably comes from the marking of the whole possessive phrase with a single determiner (rather than marking both the possessor and the possessed noun).
Carlson, Barry F. 1980. Two-goal transitive stems in Spokane Salish, International Journal of American Linguistics 46(1): 21-26.