Hope that this works. If so there should be an immage of the light cavalry sword. Unfortunately despite description in sales catalogue:-
A 1796 PATTERN LIGHT CAVALRY SWORD FOR THE HORSE PATROL NO.55, BY W. PARKER, MAKER TO HIS MAJESTY, HOLBORN, LONDON AND A VERY RARE HORSE PATROL ARM BAND with etched blade and in its scabbard.
there is nothing visible in the photo to support this.
Lee