Until relatively recently two collapsible opera hats were maintained for the use of members who wished to raise a point of order. I think even the Reverend Dogson might have considered that a little peculiar.
This was put to an end by "Early Day Motion 1623: Top Hats and Parliamentary Procedure" [1]
Quote: "That this House believes the procedure whereby honourable Members are required to wear a top hat or other suitable head covering during certain proceedings on the floor of the House should be ended; calls upon the Select Committee on Procedure to recommend ending the practice; and believes that this whole procedure brings the House into disrepute across the world."