Del. Code tit. 29, § 5101

Every person elected or appointed to any public office of trust or profit in this State, before entering upon the duties of such office, shall take and subscribe the oaths or affirmations set forth in article XIV of the Delaware Constitution. Such oaths, reduced to writing, duly signed and certified, shall be recorded in the office of the recorder of the county of the official’s residence. No fee shall be required by the recorder of any person appointed by the Governor to serve as a volunteer member of an advisory council.