Looking at the history of migration, the name Baggett and its variants probably originated in northeastern France above the Alps, and then Germany west of the Rhine River in prehistoric times. Some of the family then migrated north to Scandinavia, but others to Normandy and Flanders at that time. Germanic tribes settled on the coasts of the North Sea in the fourth century.
One might be interested at this point to note that in the genealogy of the Gothic nations, that the English descended through Scandinavians, Normans, and some through Anglo-Saxon, Frisians, Angles, Saxons, with the Dutch and Flemish also via the latter three. Some French and Swiss came from Prussia/Poland, while some Franks, North-French, Germans and Swiss descended from the earlier Franks, Germans–and way back from Teutons/Germans. (The earliest Bagot/Bagod Coat of Arms is shown here):
Notwithstanding the fact that the Bagot family is found in many countries (apparently including Sweden and Norway), and realizing that a goodly number of the Norse are found accompanying William the Conqueror in his invasion of England, it is concluded that the name Bagot/Baggott/Baget/Baggett is French in origin (and Norman/Norse as well). Thus far, there have been no other translations discovered that might take the name back to Dutch origin or any other. For the moment, all the modern day variations, both phonetic and translations, are steeped in French, and later, English origin.