Hi, just a quick note that England is named after the Angles, i.e. Angle-land, as we can also see in French Angleterre. I'll let someone else comment on the evolution of the term Anglo-Saxon, but thought you might be interested in these for now
/u/BRIStoneman in Why did the West Saxons (Wessex) not name England after themselves? and Why was England named after the Angles and not after Saxons?
/u/CorneliusNepos in England is called so because of the Angles. So why do we predominantly define ourselves pre-Norman conquest as "Saxons"?