There was a 1954 movie by the name The Barefoot Contessa. Some connection there perhaps.
Aha. Wikipedia: The "Barefoot Contessa" name comes from Garten's best-selling cookbook, The Barefoot Contessa Cookbook, which in turn was named after her specialty food store which she bought already with the name in 1978. The store, which is no longer in operation, opened in 1975 and was named after the 1954 film of the same name. She sold the store to the employees prior to its closure. The show is recorded in Garten's home in East Hampton, New York.