After a fight she goofed out walking backwards not following me

I told her the wait she still moving backward
I tell her to follow me she still walking backwards
I fast travel she does not come with me
I go back blow her up to knock her out she vanishes falling through the map
I fast travel she's not with me
I go back an find her she slumped over but has full health
I tell her to wait then follow me nothing
I fast travel again she still does come with me...

PC version?

If so:

Take everything you want to keep from her first! (Or you'll lose it.)
Open console (~)
Click on Veronica then type this in order:
kill [Enter]
resurrect [Enter]
disable [Enter]
enable [Enter]

That should reset her script to default actions.

Happened to me. She refused to budge from a building (a house of ill repute, go figure). To fix the problem I dropper her and immediately rejoined and then she started behaving correctly. The NPC's are seriously quirky in this game.

Okay so dump her ass... then pick her up later got it!