The Magee-class was introduced sometime prior to 2256. One ship of this class, the USS Shran, participated in the Battle of the Binary Stars with the Klingons in that same year. (DIS: "Battle at the Binary Stars")
Another ship of this class, the USS Cabot, was given to Lynne Lucero when she was promoted to commanding officer sometime in the 2250s or early 2260s. Her first mission brought her and the Cabot to Pragine 63, a planet on the edge of Klingon space which was facing starvation. The Cabot was destroyed, however, when Lieutenant Edward Larkin went against orders and genetically modified tribbles in order to increase their reproductive rate for use as a food source. (ST: "The Trouble with Edward")
The Magee-class broke from the traditional Starfleet primary hull / secondary hull configuration, and instead incorporated everything into a compact form, consisting of a saucer with two nacelles housed in large cowlings that swept back along the length of the ship. Each nacelle contained a Bussard collector in the front and the warp field grille in the back. The bow of the ship housed an escape pod.
The Magee-class interior design was nearly identical to contemporary Federation starships like the Crossfield and Hoover classes. Featuring the same style corridor and mess hall as the Crossfield-class, the Magee-class was distinguished by a blue color scheme, with powder blue panels in each compartment.
The starship class featured a conference room with viewports into space on at least two sides, and a captain's office with viewports into space from at least three sides.
In the article "DISCOVERY's 'Battle of the Binary Stars' Armada Identified" by Ken Reilly at Trekcore.com, this class was "possibly named for Canadian pilot John Magee, Jr., author of famed aviation poem "High Flight" – most notably used by president Ronald Reagan when addressing the destruction of the space shuttle Challenger in 1986." 
Eaves early concept art and CGI models of this class were designated as the USS Hoover (NCC-2422), and later, the USS Aldrin (NCC-1166). (Star Trek: Discovery The Official Starships Collection issue 11, p. 10, Star Trek: The Art of John Eaves, p. 195)
The Magee class appears in the 25th-century-set game Star Trek Online as a cosmetic "skin" for the playable Shran-class starship.