Inquisitorial vessel? Those would probably be Navy vessel under command of an inquisitor (as they are allowed to take command of any and all assets to achieve their goals). Though the goals of the Inquisition Ordo Hereticus do overlap with the Adepta Sororitas, so the Sisters generally do what the inquisition says.
The adapta sororitas do have their own ships, as the ecclesiarchy isn't allowed to command any IN vessels directly (No "men under arms" and all). But i don't recall any description of them, aside from a pre-heresy note that it was sleek and black... not much to go on.
Orks are rather interesting, they don't really have shipyards and standard designs. They just build a ship out of whatever debris and asteroids they can salvage or create, so there aren't any designs. Of course, not even GW themselves have stuck with this, and published a line of Kill Kroozers, Ramships and ravagers, all of which are butt ugly (imho

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Cyclonic Torpedoes to burn the atmosphere are fun
No, those are Atmospheric Incinerator Torpedos, it's how Medusa IV died.
Cyclonic torpedos dive down to the core and blast the whol planet apart

As a sidenote, I've got a 3v3 combined BFG/Wh40kApocalypse battle planned for the weekend, I'll be holding the line on the ground (my full army, some 5000 points), For the Glory of Tau!
EDIT: wow, I'm a nerd