The only Black Sea port where sea going passanger ships came to Romania is (was) Constanta. However, I think that most probably would be immigrants would have travelled to other principal Europeean Ports with US links. Tieste is a posssible port as well as : Piraeus, Constantinopole( Istambul),-these are the nearest ones , travelling from Romania at that time. All major departure prots of Europe are possibilities. Good Luck.