I'd say if the area belongs to the house, which can be seen if its a PZ or not, then the items will be transferred with the house transfer unless she has put some store items on the floor. Store items are character bound and will be mailed to her mailbox. Other items will just remain where they were left. If it is not a PZ then, also, the items will stay there unless major floor resets are going to happen.
The items shown are also not items that can be mailed to someone, since you cannot store them in your depot.
If I am not correct, then we might have another opportunity: They get deleted. In either cases, trying would be useful since I am not 100 % sure about this comment but I have a feeling that it could be correct for 80% ^^
As I said, probably it depends if it's a PZ or not.