Did quigley quagmire survive the fire in series of unfortunate events?

Quigley Quagmire is not a character in the series of unfortunate events.

The Quagmire siblings in the books are:

* Violet Quagmire

* Klaus Baudelaire

* Sunny Baudelaire

The fire that kills the Baudelaire parents happens in the first book, "The Bad Beginning". All three children survive, despite the fire.