Ok, here are some guesses:
Amory - A-mur-ee
Effie - EF-ee
Hermione - her-MY-oh-nee (according to J. K. Rowling)
Jeara - JEER-uh
Nashira - nuh-SHEER-uh
Adrastos - a-DRAS-tos (the o as in bOAt)
Andronicus - an-dro-NIH-kuss
Archimedes - ar-kih-MEE-deez
Athamas - A-tham-as (soft th as in thin ?)
Deimos - DAY-mos (the o as in bOAt)
Dexter - DECK-ster
Maximus - MACK-si-muss
Thane - thayn (soft th as in thin)