Don't think it mentions it being a gift in her question. If you have a receipt for the vehicle and proof you paid for it then you could argue ownership even though you are not on the log book. It's a dodgy one, especially if it turns acrimonious. As they say posession is 9/10 of the law, do you have a spare set of keys for the vehicle? The other thing is I would get advice from a solicitor but just make sure you don't get into a money wasting exercise, solicitors aint cheap and you won't necessarily get the result you want.