Grok explained it for me:
Sassia/Saxia: This comes directly from Saxonum (“of the Saxons”).
These names preserve the memory of the Schola Saxonum (also called Schola Anglorum or Burgus Saxonum), a medieval Anglo-Saxon settlement and hospice for pilgrims near St. Peter’s in the area that became the Leonine City (between the Vatican and the Tiber).
Thanks! Wikiwacky sez this: “Lungotevere in Sassia... takes its name from the Schola Saxonum...”