Possibly an anglicized form of the Irish surname Ó hÉaraí, or a variant of early English place names.
Eary may be an anglicized form of the Irish surname Ó hÉaraí, or it may reflect early English place-name traditions. That uncertainty gives it an appealingly misty background, as if the name has drifted through several stages of spelling and pronunciation over time.
In that sense, Eary belongs to the broad class of names whose history is partly visible and partly inferred. The name is short, uncommon, and somewhat open-ended in feeling. It has the plainness of a surname turned given name, but also a lightness that makes it easy to wear.
Because the origin is not singularly fixed, Eary can feel both rustic and modern depending on context. It is distinctive without being elaborate, and it has the kind of understated irregularity that often makes rare names memorable.