What would be Coulter's motive in deliberately giving a false address to vote in the wrong precinct?
She could be worried about stalkers. OK, that's understandable. But I'm sure that there's a legitimate way around that (most states have "celebrity shield" laws for D/L and voter registration info that restricts the release of address information).
Instead, she gave her lawyer's address as her own.
As I understand, since her address is public and she had just moved, she didn't want to be stalked. She gave her real estate agents' address, IIRC.
I seem to recall that it was a temporary mailing address for her before she moved, but I could be wrong about that.