Benjamin Finney was a Starfleet Academy instructor in the early 2250s and later Fleet staff officer. As a lieutenant commander, he was assigned as records officer onboard the USS Enterprise in 2267 until his presumed death in an ion storm. (TOS: "Court Martial") His secondary duties included serving as an orientation and training officer for officers newly assigned to the ship. (TOS trilogy: Errand of Vengeance)
Finney had been one of James T. Kirk's instructors at the Academy and even named his daughter after the young midshipman. However, that friendship ended after a cadet cruise on the USS Republic when Finney left a critical circuit open that could have destroyed the vessel. Kirk logged the incident and Finney was reprimanded and moved to the bottom of the promotion list.
He had a descendant, Florence Finney, that served as a lieutenant in the Hydran Royal Intelligence Agency as a records officer onboard the HMS Prometheus. (RIS Bouteina: "Hystelic Kingdom") His descendant later became an Hydran ambassador. (Star Trek: The Stoneship Files: "Highly Illogical")