If she is forfeiting her property, I don't see a problem with doing whatever is respectful with the icons, including asking your priest if he would like to add them to the parish collection.
Whatever you decide to do with them if she never comes for them, don't simply discard them. Icons should never been simply thrown away, but when an icon is damaged beyond repair, it should be respectfully burned, and the ashes buried where they will not be trodden upon.
Thanks, I was not sure if I should ask him or not. I thought he might think it was weird. Although he knows what is going on with this girl.