What/Where is The Morgue?
No, it's not an extra reference to anything but a (possibly figurative) morgue.
In the first bit you mentioned, Taiga is doing the &quot;evil overlord&quot; character that Ami wrote for her, and the reference is pretty much a bowdlerized way to say they're killing Yuri-sensei.  The second time is just a callback to the first -- Taiga's character as &quot;student council president who will destroy your happy school life&quot; is very clearly just her going back to the character that Ami had written for her; since the Palmtop Tiger and Delinquent Ryuji were pretty much sticking with the characters that'd been established, she uses a lot of references to the wrestling act. (Plus I think it was fun for her to say &quot;morgue&quot;.)