From Brayley and Britton's Palace of Westminster, p. 247.
This has been constantly depicted and described as "Guy Faukes' Cellar."
Arches from Guy Faukes' Cellar [(p. 75).]
Drawn for the author by H.W. Brewer.
Sir John Soane, who in 1823 took down the old House of Lords, removed the arches from the "cellar" beneath it, to his own house in Lincoln's Inn Fields, now the Soane Museum, where they are still to be seen in a small court adjoining the building. They do not, however, appear to have been set up precisely in their original form, being dwarfed by the omission of some stones, presumably that they might occupy less space. In our illustration they are represented exactly as they now stand, with the modern building behind them. Some incongruous relics of other stonework which have been introduced amongst them have, however, been omitted.
The architecture of these arches, and of the adjacent Prince's Chamber, assigns them to the best period of thirteenth century Gothic.
Cell at S.E. corner of Painted Chamber [(p. 83).]
Often styled "Guy Faukes' Cell."
From Brayley and Britton, op. cit., p. 360.
There appears to be no reason for associating this with Faukes.