Have Germans always lived in Germany?

In the course of reading European history, I was surprised to learn about people everywhere that are said to be Germanic. I think Caesar first used the term in his Gallic Wars. They were barbarians east of the Rhine. Later on, we learn that there were Germanic tribes west of the Rhine as well. In fact, the Celts and the Germans were very similar. Maybe they were the same but with regional differences. Now we know that their languages are different branches of Indo-European. Later the Germanic Goths showed up. The Ostrogoths ruled Italy and caused the fall of the Western Roman Empire. They were followed by the Lombards, who were also Germanic. Italy was basically Germanic. Even Dante’s family was Germanic. The Visigoths also sacked Rome, but settled in Iberia. So Germanic people were in Spain and Portugal. The Franks, who became the French, were a Germanic people converted into Roman Catholics, learned to speak Latin, and were Rome’s allies. Charlemagne formed the Holy Roman Empire from his Frankish kingdom. The Germanic Vandals went to North Africa and built a kingdom that included Sicily. The Angles and Saxons that went to Britain were Germanic. England means Land of the Angles. The Nordic Viking was Germanic. They went everywhere, including Ireland, Britain, Greenland, Iceland, Russia, France, and Sicily. The Normans came from settled Vikings in Normandy. They too formed the kingdom of Sicily. The Normans under William the Conqueror conquered England and his descendants still occupy the throne. It’s just that I had thought that Germans were always in Germany, but their forefathers were all over the place.