The USS Wellington (NCC-33821) was a Federation starship that was in service with Starfleet in the mid-24th century. In 2365, this ship was commanded by Captain Thomas Pucer.
Early in her career, Ensign Ro served aboard the Wellington when the vessel visited Garon II, provoking an incident that would get her court martialed. (TNG: "Ensign Ro")
Bynar technicians upgraded computers on the Wellington at Starbase 74 in 2364. (TNG: "11001001")
In 2365, the Wellington was assigned to patrol the Neutral Zone in Sector 130. (TNG: "The Measure Of A Man", okudagram)
In 2367, the Wellington reported no unusual readings after Wesley Crusher had performed warp field experiments aboard the USS Enterprise-D. (TNG: "Remember Me")
Wellington was listed, with other starships, on the Starship Deploy Status seen on Starbase 173 in 2365. Information on the registry, the captain, and its assignment were derived from this chart.
According to the Star Trek Encyclopedia, this vessel was a Niagara-class starship, with the registry NCC-28473. (citation needed • edit)
An early draft of DS9: "Business as Usual" stated that the USS Wellington was docked at Deep Space 9 for refueling in 2373. 
The Wellington was mentioned in the personnel file of Ensign Ro Laren in the remastered "Conundrum".