The centre of this state was far to the southeast of the former Saxony .
It came to be referred to as Upper Saxony and then simply Saxony , while the former Saxon territories were now known as Lower Saxony .
Although the centre of this state was far to the southeast of the former Saxony , it came to be referred to as Upper Saxony and then simply Saxony , while the former Saxon territories were now known as Lower Saxony .