(a) Unless there is a written unexpired loan agreement to the contrary, any property on loan to a museum for 15 years or more and to which no person has made claim according to the records of the museum is considered abandoned and, notwithstanding Chapter 72, becomes the property of the museum if the museum has given the lender notice in accordance with Section 80.003.
(b) If no valid claim has been made to the property within 65 days after the date of the last notice given under Section 80.003, title to the property vests in the museum free from all claims of the owner and all persons claiming through or under the owner.