Sorry, not a Caragata or Adamache. Just want to help.
The Romanian phone site www.whitepages.rois listing the name CARAGATA, ADAMACHE, OPRICA in the city of Bucuresti.I went to look for Caragata and it lists in town of Arad, Mioveni, Bacau, Comanesti, Corbasca, Brasov,Braila, Constanta, Cernavoda,Filiasi, Galati, Draganesti,Toplita,Hunedoara,Fetesti,Sighetu Marmatieiand I only went up to and not including Maramures. You have a big family in the "old country".
You could send out "few" letters with your family information, your e-mail address and a photo of your ancestor to your family names, of course in the area of your ancestral villages, and see what comes back to you in a form of reply.