Alternate Reality(split 2233)
The Mayflower-type was a medium-sized starship class in service to Starfleet in the mid-23rd century.
A typical ship of this type had two nacelles connected to the underside of the primary hull by swept pylons.
Three ships of this type were docked to Starbase 1 prior to the destruction of Vulcan in 2258. One of these ships would later participate in this battle. (Star Trek)
A year later, before the USS Enterprise departed on its mission to Qo'noS, a ship of this type was docked at berth A0. (Star Trek Into Darkness)
Background Information Edit
In the Blu-ray special "Starships" a ship of this type is labeled as the USS Defiant (NCC-1764) (β). Additionally, the ship is drawn with a roll bar similar to that of the Miranda-class.
The Gizmotron models 1/2500 scale model kit names this ship type as the Federation frigate. 
The unnamed ship from 2259 was seen on the cover of Cinefex, Issue 134.