fem. proper name, Old English Eadgyð, from ead "riches, prosperity, good fortune, happiness" + guð "war." A fairly common name; it survived through the Middle Ages, probably on the popularity of St. Eadgyð of Wilton (962-84, abbess, daughter of King Edgar of England), fell from favor 16c., was revived in fashion late 19c. Old English ead (also in eadig "wealthy, prosperous, fortunate, happy, blessed; perfect;" eadnes "inner peace, ease, joy, prosperity") became Middle English edy, eadi "rich, wealthy; costly, expensive; happy, blessed," but was ousted by happy. Late Old English, in its grab-bag of alliterative pairings, had edye men and arme "rich men and poor."
pike-like fish, 1765, American English, shortening of garfish (mid-15c.), from fish (n.) + Middle English gare, gore "a spear," from Old English gar "spear," from Proto-Germanic *gaisa- "spear" (source also of Old Norse geirr "spear; point of an anvil," Old Saxon, Old High German ger, German Ger "spear"), from PIE *ghaiso- "a stick, spear" (see goad (n.)). The fish so called for its long sharp snout. Compare Edgar, garlic.
Others are reading
Definitions of Edgar from WordNet
the younger brother of Edwy who became king of Northumbria when it renounced Edwy; on Edwy's death he succeeded to the throne of England (944-975);