Yes, It can be derived from the English surname Myers which means swamp, the German surname which means mayor or the Jewish surname "Meyer or Meyers prenounced Mire" meaning Light or Enlightener. it may be any of the above as many names are often americanized you just might be Jewish!
If the proper noun Myers is the singular name Myers is, the singular possessive form is Myers's. Example: Jim Myers's application has been accepted. If the proper noun Myers is the plural for for the name Myer, the plural possessive form is Myers'. Example: The Myers' dog is a spaniel.
If you are referring to the Carolyne Myers of Ft. Lauderdale Florida, her middle name is Genovieve. However, if you are referring to the Carolyne Myers of Middleton Michigan or Paris Texas, her middle name is Jo.