That last link looks a lot like it. The blade shape is right and I think on this one, both the hand protector and the finial are bent in towards the center.The curve of the finial takes an abruptly sharper bend at one spot and the handle has several spots where the curve is either flattened, or sharper indicating it was smashed inwards. If they were bent back outwards, they would look like the sword in the link. The butt end looks the same too with the peg and the roof-like overhang above the hand guard.
I searched carefully and there are no markings at all.
The only other things I noticed is that there is an old leather disk pressed in around the blade into the front of the hand guard where a brass habaki would be on a Japanese NCO sword. Like a gasket between the hand guard and the blade. I can see that the rear of the blade stops at that point for the distance to the bottom of the blood groove then that line continues into the handle.
This one looks like it too, but there is no leather disk : https://isellswords.com/2016/06/01/1800-british-hangercutlass/ Mine is also exactly 27" long blade and 31 1/2 total; as well. I sent him an Email to try and find out more.
Thanks everyone for the expert assistance. I had been stumbling around this site learning more about a NCO sword I have and saw some of the Japanese Officers Swords and saw a semblance of this older sword in them so thought I would ask. Apparently all short swords have the semblance of a finial, ringed grips, hand guard, etc.
Edit : Reply to Email : this type of sabre seems exclusively Canadian, as they are found nearly entirely here. Nobody knows what they are exactly, but they seem to be from the early 1800.
So, likely Circa War of 1812.