"hunting high and low"

What does "hunting high and low" mean?

Thank you.
Valeriy

Looking or searching everywhere.

Another phrase pops up in my head: "I went through them all [drawers, presumably], top to bottom."
SS

Thank you. I am not a hunter, but to my mind the origin of "hunting high and low" lies in hunting behaviour of various hunting dogs' breeds: some of them smell the game high (that is, pointing the nose up and intaking the air), the others put the nose close to the ground smelling the track.