But at the end, just exactly whose signature is on those documents?
In most government offices, it's the elected/appointed official whose signature is placed on all documents going through that office, regardless of whatever sub-official actually performed the actual transaction.
Admittedly, I don't know the procedural riggoramo ... er ... officious BS wording that must be used officially. OK, I am relying on my USAF Leadership School training here. Who has the authority to sign off on anything? Where did that person derive his/her authority from? In our USAF command's Leadership School, we suffered through a long and tortuous lecture that started with the Constitution of the United States of America and meticulously traced down to the authority of a non-commissioned officer (NCO) to issue orders to his subordinates.
There was something else that we were taught. We not only could
delegate authority, but we were actually required to do so, so that our subordinates could discharge the duties that we had
delegated to them. At the same time, we could never delegate
responsibility. We were still responsible for what our subordinates did.
Now that Davis is imprisoned as is appropriate, her subordinates are issuing marriage licenses. Whose name appears on those licenses? In whose authority are those subordinates acting? What difference exists?