Final answer:
The band from Burlington, Vermont, which collaborated with Ben & Jerry's to create the 'Phish Food' ice cream flavor, is Phish.
Step-by-step explanation:
The band founded in Burlington, Vermont, that has put their name on just one product, a chocolate ice cream with marshmallow and caramel swirls, is none other than Phish.
This product was made in collaboration with the local-to-them company Ben & Jerry's.
The ice cream flavor is named Phish Food, and it represents a unique collaboration between a band and an iconic ice cream manufacturer known for creating innovative flavors.
This type of partnership aligns with Ben & Jerry's history of whimsical and community-focused branding.