In The Hobbit and The Lord of the Rings, the vernacular of the Shire is the Common Speech. Some names of families and locations originated from variants and contractions of Mannish words (e.g. Holman Cotton's name simply meaning "hole-man"), if not simply individual or contractions of English words (e.g. Bracegirdle, Cotton, Daisy, Bowman, Ruby). The Stoors, however, who in early times did not dwell in the Shire, are said to have probably adopted speech similar to Dunlendish.
The only occurrences of Hobbits speaking in other tongues as if naturally are the times in The Return of the King when Frodo and Sam find themselves invoking Elbereth out loud, or when Frodo cries the Quenya phrase Aiya elenion ancalima! to break the spell of the Watchers at the Tower of Cirith Ungol.