Alternate Reality
(split 2233)

The USS Wolcott was a 23rd century Federation starship operated by Starfleet.

In 2258, the Wolcott 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 send a fleet to Vulcan, including Cadet McGrath.

Upon its arrival at Vulcan, the Wolcott was immediately destroyed by the Narada during the destruction of Vulcan, along with a number of other starships. (Star Trek)

The Wolcott was briefly seen, however not specifically identified, when the shuttlecraft Gilliam flew over the spacedock to the USS Enterprise.