Final answer:
The statement about the arrival of the first Germanic peoples in Britain in the 6th century is false as they arrived in the late fifth century. Virginia Dare was the first English person born in North America.
Step-by-step explanation:
The first Germanic peoples, specifically the Angles and the Saxons, who are collectively known as Anglo-Saxons, arrived in Britain in the late fifth century, not the 6th century A.D. This migration took place after the Romans abandoned Britain around 400 CE, creating a power vacuum that these Germanic tribes filled.
The student's statement that the first Germanic peoples arrived in Britain in the 6th century A.D. is False. As for Virginia Dare, the first English person born in North America was indeed a girl named Virginia Dare on Roanoke Island, so that statement is True.