No man, that's an Armitage-class. Says so right on the side 
Although you are slightly right, just not at this point in the story.
The Jeff Wayne as seen here is the Thunderchild-class, shown in the game as the Heavy Escort Refit, the Commander level escort refit. Hunter and Prey is set in early to middle 2409, not that long after the Romulan Republic is recognised by the Federation and Klingon Empire, so the crazy technological discoveries and modifications of the late game have yet to be implemented and installed. That said, the Jeff Wayne ended up being Priss's actual command (indeed, my mind insists that that was the only ship she captained on a permanent basis, with others being occasional things for whatever reason), so when I hit 50, I had to get it back. Lacking access to a fleet with the resources for the fleet version or Retrofit, I ended up going with the Heavy Escort Carrier found on the C-store. The story explanation is that the Jeff Wayne took some damage, and was refitted and upgraded, leading to a mix between the two ship classes, as shown here.
She's still listed on the paperwork as a Thunderchild-class, because the Thunderchild is freaking awesome and deserves to be respected and included in any War of the Worlds remake.
Although you are slightly right, just not at this point in the story. The Jeff Wayne as seen here is the Thunderchild-class, shown in the game as the Heavy Escort Refit, the Commander level escort refit. Hunter and Prey is set in early to middle 2409, not that long after the Romulan Republic is recognised by the Federation and Klingon Empire, so the crazy technological discoveries and modifications of the late game have yet to be implemented and installed. That said, the Jeff Wayne ended up being Priss's actual command (indeed, my mind insists that that was the only ship she captained on a permanent basis, with others being occasional things for whatever reason), so when I hit 50, I had to get it back. Lacking access to a fleet with the resources for the fleet version or Retrofit, I ended up going with the Heavy Escort Carrier found on the C-store. The story explanation is that the Jeff Wayne took some damage, and was refitted and upgraded, leading to a mix between the two ship classes, as shown here.
She's still listed on the paperwork as a Thunderchild-class, because the Thunderchild is freaking awesome and deserves to be respected and included in any War of the Worlds remake.