There is hereby created a general lien upon the real and personal property of any person who is receiving or who has received care or treatment in a State mental health facility, to the extent of the total expense to the State in providing the care, training or treatment. The Department of Mental Health shall send to the clerk of court or the register of deeds in those counties having such officer and the judge of probate of the county of the patient‘s or trainee’s known or last known residence a statement showing the name of the patient or trainee and the date upon which the lien attaches, which shall be filed in the offices of the clerk of court or the register of deeds in those counties having such officer and the judge of probate in each county in which the patient or trainee then owns or thereafter acquires property, real or personal, and no charge shall be made for this filing. From the time of filing in either office, the statement shall constitute due notice of the lien against all property then owned or thereafter acquired by the patient or trainee. No action to enforce the lien may be brought more than one year after the patient’s or trainee’s death. This lien shall in no way affect the right of homestead.