Yes France Settled in the Colonies it is just that they mostly settled in northern US and Canada. And they stayed their until The French and Indian War where they removed all colonies from the States
Vikings who settled in north-west France were calle "Normands" (literllay men of the north). The region in which they settled, West of Paris, was named after them: la Normandie (Normandy)
Danish Vikings settled what is now Normandy, on the coast of northern France. They were led by Rollo, a Norse Viking who became the first ruler of Normandy.
No, what was New France is currently known as the Province of Quebec (in Canada), its former name of New France was given when the French first settled there in the sixteenth century.
The name France is from the Franks who were a German tribe who settled there. Another cool fact of France is that there are over 40,000 chateaus located there.
The name "France" itself was given after a Germanic tribe, the "Franks" having settled in Northern France, whose kings came to preeminence after the fall of the Roman Empire.