Captain Conklin was a Starfleet officer in command of the USS Magellan during the mid-24th century.
The Magellan put in at the Federation's Arkaria Base in the late-2360s. While there, the starship's crew put on a talent show at the base, in which Captain Conklin performed a poetry reading. (TNG: "Starship Mine")
This character was only mentioned in dialogue.