How Do They Do That?

Does anyone here know enough about Greek patronymics and ancient Greek names to help to give a reasonable pseudonym to a character from about 300 BCE? I keep looking up lists of names and I am not sure how to get the result I want. And this after a year of college-level Ancient Greek -- we didn't do much that I remember on the nature of ancient Greek names. Also, the textbook was by Liddell and Scott, and while I don't recall who Scott was, Liddell was the real Alice in Wonderland's father.

Help me find the right name for this character, please?