Small saw to go with hatchet

[JJ_Colt45]

My favorite folding/pack saw by far is the Agawa Canyon Boreal. It's got a lot better clearance than the Sven and cuts on push and pull strokes unlike Silkies. The carry case for it lets you carry extra blades which is nice and they are easy to change if you want to carry different types of blades for different needs. They even offer bone/meat saw blades now. Comes in three sizes the 15, 21, and 24 ... I carry the 21.

 

[Hickory n steel]

I'd bet that's a re-branded Corona.

No, Fanno saws have been made not too far from me in Chico California since 1919.
They're a manufacturer and a saw sharpening service.
Corona stuff is no longer made here in the US and I'm not sure they even offer the wood handle saws anymore.

 

[Gato do mato]

I only own cheap saws like Bahco, Tramontina, Collins, Carpa. But together with the axe, they make an excellent pair of tools.