Unfortunately, I don't have any ivory hilted 1796 style sabres in my collection, but here are some examples I've previously come across on the web:
Probable Light Cavalry Officers frock (dress) sabre. Overall length 92cm blade length 78cm.
1796 Style sabre, this one is etched with cavalryman on the blade:
Another like it with an 82.5cm blade:
Another probable Frock sword with 71cm blade:
Another, overall length is 93cm, the palm frond engraving on the grip is interesting as it's also seen on Hussar Mamelukes. A possible connection?
Another, possible Yeomanry sabre with 83cm blade:
As you can see, the type isn't that uncommon. Plus I've deliberately left out the ones with lions head pommels and embellished langets....