(a) Where the suit, abstract of the claimed lien in which has been filed and recorded, finally terminates, whether on the merits or otherwise, the court may direct the entry on the lien book in the registry of an order respecting the suit made by it, which order, certified by the clerk, shall be presented to the register, who shall immediately note its date and record it on the lien book at the proper place.
(b) Should no such order be entered by the court, it is the duty of the plaintiff or complainant who filed the notice abstract to cause to be noted of record the fact of termination, or, if the claim is satisfied, the satisfaction of the claim, such notation to be attested in writing by the register or the register's deputy.