Wikipedia
The Anglo-Normans were the medieval ruling class in England, composed mainly of a combination of ethnic Angles and Normans, following the Norman Conquest. A small number of Normans had earlier befriended future Anglo-Saxon King of England, Edward the Confessor, during his exile in his mother's homeland of Normandy. When he returned to England some of them went with him, and so there were Normans already settled in England prior to the conquest. Following the death of Edward, the powerful Anglo-Saxon noble, Harold Godwinson, acceded to the English throne until his defeat by William, Duke of Normandy at the Battle of Hastings.
The invading Normans formed a ruling class in Britain, distinct from (although inter-marrying with) the native populations. Over time their language evolved from the continental Old Norman to the distinct Anglo-Norman language. Anglo-Normans quickly established control over all of England, as well as parts of Wales (the Cambro-Normans). After 1130, parts of southern and eastern Scotland came under Anglo-Norman rule (the Scoto-Normans), in return for their support of David I's conquest. The Norman conquest of Ireland in 1169 saw Anglo-Normans (or Cambro-Normans) settle vast swaths of Ireland, becoming the Hiberno-Normans.
The composite expression regno Norman-Anglorum for the Anglo-Norman kingdom that comprises Normandy and England appears contemporaneously only in the Hyde Chronicle.