Isn't it pronounced Med- and not Meed-?
If it's a contraction of
Metrodora or an elaboration of
Medea (two possible derivations that have been offered), it would not be Mee-dora. I think Medora would be a weird pronunciation, like pronouncing
Melanie "Mee-lanie" or
Melissa "Mee-lissa."
http://www.behindthename.com/submit/name/medora
- mirfak