David Carson was a Starfleet officer in the 23rd and 24th centuries.
In 2293, he was listed as a Fleet Operations officer on the dedication plaque of the USS Enterprise-B. (Star Trek Generations, dedication plaque)
In 2368, as a captain, he was listed as a Fleet Yards Operations officer on the dedication plaque of the USS Sutherland. (TNG: "Redemption II", dedication plaque)
This character was only mentioned in writing.
He was named after production staff member David Carson.