The “cross annulety” (or “annuletted”) may have been a Byzantine motif, later adapted to mundane armory. It’s found in the arms of Westle or Westley, c.1450 [DBA3 127].
Sophia de Leon bears: Per saltire azure and argent, in pale two crosses annulety, arms formy and voided, and in fess two lions combattant counterchanged.
Hadrian Black bears: Quarterly gules and Or, a cross annulety counterchanged.