Ariel, my first thought was also the Chouan halberd, but that's got the sharp edge on the wrong side, and was introduced some 500 years after the "Les Coutumes de Toulouse" was made.
But I took a look through my pic archives, and I found something similar. Certainly not from the 1200's, but sharing the same form, and showing obvious signs of being rehilted at one point or another.
