The name of the town sounds like it should be Dragsina.The jewishgen/mapquest is showing DRAGSINA South-East of the city of Timisoara.
The Romanian phone site is at http://www.whitepages.rohttp://www.whitepages.ro The name KOVACS lists in Timisoara's phone book. Only a name KOLCSAR shows up and DUDAS in To summarize, all of your ancestral names lists in Timisoara's phone book.
Check out LDS-Mormons website for church films for this area. If they have filmed them than you can order and gather ancestral information from them.
It is not that the place does not exist it is the place with that spelling that you have does not exist. To me all your names seems to be americanized except for Kovacs.
The name Kovacs is one of those names like Smith, Jones in US.I have Kovac' in my Slovak roots.