(a) To the extent the transferor's probate estate is insufficient to satisfy an allowed claim against the estate, the costs of administration of the estate, or a statutory allowance to a surviving spouse or child, the estate may enforce the liability against property transferred at the transferor's death by a transfer on death deed.
(b) If more than one property is transferred by one or more transfer on death deeds, the liability under (a) of this section is apportioned among the properties in proportion to their net values at the transferor's death.
(c) A proceeding to enforce the liability under this section must be commenced not later than 12 months after the transferor's death. A proceeding to enforce the liability under (a) of this section may not be commenced unless the personal representative of the transferor's estate has received a written demand by the surviving spouse, a creditor, a child, or a person acting for a child of the decedent.