Could you come see her off?

Literal

Come-and her [object-を] send-out-give-me-[neg question-んか].

送り出す is a compound verb: 送る ('send') + 出す ('put out / release') = 'to send off / see off.' ~てくれる used as a request. The ~か at the end is a contraction of ~ますか / ~んか (colloquial question). 来て + 送りだす is a te-form chaining of actions: 'come and send her off.'