A few thoughts:
1) If TH can pay her lawyer, she can rent a uhaul to move her stuff to her new boyfriend's house, or to her parent's house, etc. From what I've read about the man, Houze (sp?) isn't the kind to represent TH pro bono. If she's got funds to pay him (through inheritance or whatever), then she's got a lot of nerve asking for money from Kaine. That said, her parents could very well be the ones putting up the money for the lawyer.
2) If TH has no access to funds of her own and has been a SAHM with KH's full agreement, etc., for these past however many years, then given that there are criminal charges (yet), it's not unreasonable for her to ask for support in moving when he's the one who started the divorce proceedings. This is a little gray in my mind, however, because she's being asked to move because of the RO, not just because of the divorce. Somehow, I have a hard time believing that if a female discovered that her husband was trying to have her killed, and if after she put out a RO against him,took their daughter, and started divorce proceedings...I have a hard time believing that if it were a male who in TH's position, someone who had acted violently, that there would not be public outcry if said violent male asked for money to move out, when in fact he was being asked to move because of an RO due to his violence.
3) Despite the fact that she might have a legal claim to financial assistance in moving from the house, the fact that her lawyer released letter saying that they would move and comply with the RO...and then turn around and add "oh, we'll move if we get paid" is, IMO, bad PR, especially given TH's reported behavior (lying about her whereabouts on June 4, the MFH plot, the sextiing, etc.). I thought Houze was supposed to be a PR type of guy? IMO, this isn't a good PR move.