Leslie,
Could you summarize for us what you have found and what you are still looking to find?
Keep in mind that after the end of WW 1 the state Burgenland of Austria came into existence starting late 1921. For the recording districts along the new border this often meant that parts of recording districts became part of Austria. Austrian records have been microfilmed much less than Hungarian ones. For instance, microfilmed (and meanwhile digitized) civil records of Burgenland cover only the time from October 1895 till 1920.
Take Schandorf (Csém) which is a main location for your Veszelits line. As long as Schandorf was in Hungary, its recordings happened in Felsõcsátar. This applies to the civil recordings from 1907 till 1920. For the earlier time of Oct. 1895 till 1906, recording for Csém was located in Vaskeresztes (Grossdorf). Civil records for Schandorf covering the time from 1921 were made in Austria, possibly in Schandorf. These were not microfilmed. You will not find them at LDS. You might try writing to the Townhall (Bürgermeisteramt) of Schandorf to clarify where these records are today and how you could see them..
Another example would be the records of Nagynarda and Kisnarda. From 1895 till 1906 the civil records were in Torony. Only from 1907 onwards were vital events for Narda recorded in Felsõcsátar. Since Narda and Csatar remained in Hungary, there may be records available on microfilm for times after 1920.
Regards, Fritz