We don't have synonyms for eamon yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are amon, damon and eagon.
(n) :
A male given name from Irish Éamonn, Éamann [in turn from Old English Ēadmund (“prosperity protector”)], variant of Edmund; variant forms Eamonn, Eamann, Eaman.
(n) :
A male given name from Irish Éamonn, Éamann [in turn from Old English Ēadmund (“prosperity protector”)], variant of Edmund; variant forms Eamonn, Eamann, Eaman.