Hmmm... It looks just a little different from the cane on the show. It might be a little taller if it isn't the exact one from the show. 
One way to know if it's THE cane is if it doesn't have the little, er, rubber grommet on the bottom of it, where the cane strikes the floor. In "those" days, they didn't have regulations for men's walking canes. However, a friend bought me a wolf's head cane as a gift, and it was obviously not "the" cane because the bottom had a little rubber seal on it. For protection of the cane? The floor? To keep it from skidding? The man who sold it to her said I could take it off and paint the bottom inch of the cane black.
All I could think was, "If there was a rubber grommett on Barn's cane, then maybe it might not have hurt Willie so much!"
But, to get back to the subject, I'll bet Quentin T's cane had a rubber grommet on it. Definately not "the" cane, tho, I think.
Also, JK once indicated that at some awards (perhaps the Emmy's last year?) that Quentin T came up to him and said, "Mr. Karlen, I love your stuff."

Maine Girl