Hello, my name is Erna (nee Ofenbeck)and I just read your query. I too am trying to find out more about my Dad's people in Tauchen, Burgenland, Austria. He was born in 1907 in Tauchen (which is not too far from Neustift) and emigrated to Canada in 1929. His father was Samuel Ofenbeck, his mother Rosina (nee Hansman, Hanzman?)both of whom are buried in Tauchen. He also had a sister Karoline (Linnie) with married surname Kalchbrenner who lived with her family all her life in the family home in Tauchen. That house still stands but has since been sold.
I know there were one or two Adam Ofenbecks in Tauchen in the 1800's, and assume they are my Dad's forebears.
If any of those names mean anything, I hope they are a lead for your search.