Firstly, I must apologise for my statement about the number of colichemardes in Greenwich being the greatest number: Royal Armouries at Leeds have over a dozen.
In regard to the source of the name: I've read several dissertations regarding this business and am firmly convinced there was no relationship. However, if anyone has evidence to the contrary it would be of great interest to the smallsword cognoscenti.
Here is a link to a paper written recently that covers every aspect of the colichemarde in a detail that defies condensing:
http://eprints.hud.ac.uk/id/eprint/34663/
I have also posted an image of a Dutch smallsword/duelling rapier from the second half of the 1600s in the hope that someone can confirm its purpose: was it a civilian carry or was it designed specifically for duelling?
The blade features a series of X type crosses on each side.
I find it hard to accept that anyone interested in self-defence would wear such a sword.