The name likely orginated with the spelling of Daegmund or Edmund. Anglo Saxon or Old English personal names survive in modern times and these include Dagemond or Daegmund (modern Dymond or Daymond), meaning 'day protection', and Daegmund (modern Dyman or Dayman) meaning 'day man' Deman, King of Ulidia

Edward the Elder of Chester 877-924 - union of Wessex-Merica
2— Edmund I the Deed-Doer (Eadmund) 921-946 (Eadmund or Odymon)- godfather of Olaf of York & Dublin
2 — Aethelstan- (AS Chronicle)
3—— King Edwy of Weesex & Kent
3—— King Edgar the Peaceable of Merica & Northumbria
4 ——— Edward the Martyr

4——— Ethelred the Unready = daugher of Thored of Northumbria & Bernicia
5————— Aethelstan Aetheling
5————— Edmund II Ironside of Chester = Ældgyth (widow of Morcar)
6——————— Edward Atheling the Exile (to Hungary) = Agatha de Bavaria
7 ———————— St. Margaret the Exile = King Malcolm III Canmore of Scotland (Máel Coluium Mac Donnchada)
8 —————————— Etmond of Huntingdon-Scotland
8 —————————— Matilda Stewart of Huntingdon-Scotland = King Henry I Beauclerc
8 —————————— St. David of Huntingdon-Scotland = Qu. Matilda of Northumberland (dau.of Waltheof de Toeni & Judith)
8 —————————— Edward of Huntingdon-Scotland
8 —————————— Ethelred Aodh of Fife - Abbot of Dunkeld
8 —————————— King Edgar Huntingdon-Scotland (Dunkeld)
8 —————————— Heath Huntingdon-Scotland = Tul of Moray (granddaughter of Gruoch, Lady Macbeth; line of Ross)
8 —————————— Walter of Caen - Huntingdon-Scotland
7 ———————— St. Margaret the Exile of Wessex = King of Scots Duncan I; Cenel Eoghain/ Conaill; line of MacDonald
6——————— St. Edmund the Martyr of East Anglia (Bury St. Edmunds)
5————— Ecberht Aetheling
5 ————— Eadred Aetheling

4 ——— Ethelred the Unready = Ealflaed
5 ————— Ælfgifu of Deira = Uchtred of Chester and Galloway
5 ————— Eadwig Aetheling
5————— Eadgar Aetheling the Elder

Richard I the fearless, Duke of Normandy= Gunnora de Crepon

4———— Ethelred the Unready
=
Emma of Normandy

5— Eadward (III) the Confessor

———Richard II of Normandy = Judith de Bretagne [Dinan and Dol-de-Bretagne]

5— Aelfred Aetheling

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Robert the Magnificent of Normandy = Herleva de Falaise

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William I the Conqueror of Falaise = Qu. of England Maud of Flanders

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1, 2, 3, 4, 5,