Generally, I've split the Anglo-Saxons into three groups.
Those in the Southeast are generally referred to as the dûîreinwir (easterner, lit. East-men)
by the Brythônys, though they themselves don't think of being one people. They've settled down and are "Brythonizing", mixing with the more dominant Brythonic culture while retaining some uniquely Germanic customs and such. The Aurlings plan is to "civilize" them and then bring them into the fold, which will be marked by letting their Kynnings to participate in the senâdh(the Senate, which elects the next Âlt Rî). That's still off a generation or two in the POV.
Those in the Northeast are the Anglonik, a regular concern for the the Brythôns and Cumbrians alike. They were the last of the Anglo-Saxons to convert to Christianity, doing so only three generations ago (officially at least), and only after being decisively beaten in battle. They're generally viewed as half tamed barbarians by the Brythônys.
Thirdly, there are the Seisnik, a derogatory Brythônik name for those Germanic peoples that are slaves and bondsmen in Brythain. The term is used irrespective of whether they actually are descendants of Saxon tribes, or even if they're Anglo-Saxons.