The saws surgeons used were different from every day run of the mill hack saws. There are 18th. and 19th. C. catalogs that list these tools with carefully drawn illustrations. We know exactly what they are.
For 1 simple thing,surgeon's instruments were highly polished. This was because highly polished steel does not take blood stains rapidly as non polished surfaces. If they were soon wiped off after use,they stayed clean and professional looking.
Surgeon's instruments were much more carefully made than woodworking or metal working tools. Doctors wanted their tools to reflect their status. Their equipment was state of the art at the time.
As toolmakers,Jon,my journeyman,and I also made surgical instruments for the Apothecary Shop in the Historic area. We made saws and amputation knives,blood letting lancets and inoculation lancets also. I'll post a quick picture of one of our amputating knives. You can see how refined it is on all surfaces,and how much more carefully made it is than your average workman's tool.
The hack saw was never polished this highly. It has filed surfaces on it as does the blade.
If you want to learn about surgeon's saws,Google them. I cannot spend a lot of time on this tonight. Everything is at your fingertips in the computer.
Jimsher,next time you are coming to town,PM me here well in advance so I can give you my address. I haven't worked at the museum since 2009.