Elea is definitely correct that Arsinoe is a Greek or Macedonian name brought to Egypt by the Ptolemies. One of the few sites that gives a meaning for it discusses its use in a Gnostic text and says it originally meant "uplifted mind". Though I'm cautious about the total veracity of that site, it does correspond with
Elea's knowledge of Greek so probably has a more than 50% chance of being correct. :)
http://pages.sbcglobal.net/zimriel/Mark/salome2.html