The name "Bichon" refers to the character also known as Polly Chuck, a woodchuck and the mate of Johnny Chuck (also called Rocky). She ranks among the three principal characters in the original literary source alongside Rocky and Peter Rabbit, with saints' names featuring in early adaptations—Polly being a nickname for Marie.

After Johnny leaves his parents' nest to establish a home in the Green Forest, he meets and partners with Polly. She helps scout a location for their burrow and navigate threats like Reddy Fox. Polly maintains a collaborative relationship with Johnny, demonstrated when she aids him in rebuilding a secret burrow exit discovered by predators.

Polly integrates into the Green Forest and Green Meadows community, forming friendships with residents like Peter Rabbit, Chatterer the Red Squirrel, Uncle Billy Possum, and Jimmy Skunk. She joins in communal activities, including planning a welcoming party for Uncle Billy Possum.

Her role involves supporting other forest inhabitants during conflicts with predators such as the Mean Weasel, Reddy Fox, and human interventions. Polly remains a consistent presence within the core group confronting ongoing threats in their environment.