Soon after the Carnegie Mellon graduate students built the first EServer workstation, we realized that we needed a name. "The Server" sounded too generic. The users (all 8 of us!) voted, and decided on "English Server", since our users were all graduate students in CMU's English Department. Our original Internet domain name (before they invented short domain names) was "english-server.hss.cmu.edu", which later became "english-www.hss.cmu.edu", then "english.hss.cmu.edu", then "eng.hss.cmu.edu".
In the years since, we've shortened our name to "EServer," since we're not located in England and since our members today come from a wide range of arts and humanities disciplines. Hence, in late 1996, "eserver.org".
We keep the capital "s" of EServer just to remind us of that it's a sort of contraction, as well as to confuse word processors that try to help writers with their spelling. :)