The USS Harriman was a Federation starship in Starfleet service in the 24th century. It was presumably named for former Enterprise captain John Harriman, or his father, legendary admiral John "Blackjack" Harriman.
In 2365, the Harriman took enemy fire when it intervened in a confrontation between a Klingon cargo ship and a Romulan warbird near planet Nimbus III. Among the few casualties was science officer Marsha Kenyon, the wife of Captain Norman Kenyon. (NF novel: The Captain's Table, Book Five: Once Burned; short story: "Performance Appraisal")