2. Since Mary has just moved to town, I will bring her with me to the luncheon on Sunday.

bring, entailing movement towards you

Exactly. This is in that fuzzy area where it depends on the point of view. In this particular case, the point of view is either irrelevant or has been established outside of the quoted context. So the "right" answer is "I don't know which is correct" or "it doesn't matter which you use."