If any person entitled to a lien under this division shall die before the time has elapsed for filing his statement in the office of the judge of probate without filing it, his personal representative may file the same within three months after the grant of letter; and if such person shall die before commencing an action for the enforcement of his lien, and the lien is not lost at the time of his death, his personal representative may bring an action for the enforcement thereof at any time within six months after the grant of letters.