The USS Truman was a 23rd century Federation starship operated by Starfleet.
In 2258, the Truman was docked at Starbase 1 at the time Vulcan came under attack by Nero. Several graduates of Starfleet Academy were assigned to this ship in the scramble to get a fleet to Vulcan. Upon its arrival at Vulcan, the Truman was immediately destroyed by the Narada during the destruction of Vulcan, along with a number of other starships.
Unaware it had been destroyed, Christopher Pike asked Hannity to hail the Truman, but she was unable to do so. (Star Trek)
The Truman was briefly seen, however not specifically identified, when the shuttlecraft Gilliam flew over the spacedock to the USS Enterprise, and Captain Pike asked crew member Hannity to contact the ship just before their arrival at Vulcan. It was presumably named after Harry S. Truman, who served as President of the United States of America from 1945-1953.