Dear IP: I never heard of residual dative before. Dodyskin's examples do indeed appear to fit the
definition:
dative

(dītv) (KEY) [Lat.,=giving], in Latin grammar, the case typically used to refer to an indirect object,
i.e., a secondary recipient of an action. For example, him in I gave him a book is translated in Latin
by a dative case. The Latin dative also has other uses; and the cases called dative in other languages
correspond in their grammatical function only in part to that of the Latin. The residual dative case in
English was treated in the early work of Noam Chomsky.

However, ellipsis is quite common. Many times I find myself editing them out of posts. I had a
terrible tempered Teutonic taskmaster who spoke semi-broken English give me a very
severe jobation about it.