Jumpy Squirrel is George's furry friend in the Country. Jumpy Squirrel lives on a tree. That tree is within the Man's property so Jumpy Squirrel technically lives with the Man, as did Jumpy Squirrel's ancestors. His grandfather, Bouncy Squirrel, met the Man during the Man's childhood.
Unlike other characters, Jumpy Squirrel is typically called by both his name and species, i.e., "Jumpy Squirrel". He is rarely called "Jumpy" and never "Jumpy the Squirrel".