Of all the invented names, I think those which are coined from combining forms of existing names appear to be the least contrived, as they actually have a history which can be traced. "Eastlin" is a very nice name.
As for a meaning to it... Well, like the name itself, I would guess that its meaning would be a combination of its elements. The surname "Eason" literally means "son of Ead", with "Ead" coming from "Eda", a Middle English diminutive of the feminine given name of "
Edith". Click on the blue hyperlink for meaning.
The meaning of "
Lynn" can also be found on this site by clicking on the blue link.
Since you added the "t" to the name, the meaning could also literally be taken to mean: "person from the eastern lake".
As a side note, if you had decided to give your son an anagram name formed from "Eason" and "
Lynn", you might have named him "
Sonny Lane" (which kinda sounds like a name for a '50s pop music star).
Personally, I prefer "Eastlin".
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Nanaea