If their purpose is to preserve the documents for future reference, they would be called an archivist.
A person who takes care of old documents is often referred to as an archivist. Archivists are responsible for preserving, organizing, and maintaining historical records and documents, ensuring they are accessible for research and reference. They may work in various settings, including libraries, museums, and government institutions.
A drehontaphile is a Person Who collects old Car Tax Discs :)
Old
A geriatric You call them elderly or an elder.
A Senior Citizen?
A "septuagenarian" is a person who is 70 through 79 years old.
A person that is very old is commonly referred to as elderly or a senior citizen.
quinquagenarian
Old
A one-hundred-year-old person can be called a Centenarian.
A person who is 60-69 years old is called a sexagenarian.
forty five year old person